(628)-272-0788 info@etutorworld.com
Select Page

Solving Proportions

Grade 7 Math Worksheets

Proportions are a fundamental concept in mathematics that allows us to compare the sizes of different quantities. They’re used in various real-life scenarios, from cooking recipes to calculating distances on maps. Understanding how to solve proportions is essential for mastering many mathematical problems.

Let’s delve into the basics and methods of solving proportions.

Personalized Online Tutoring

Solving Proportions - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

"We really love eTutorWorld!"

"We really love etutorworld!. Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)

"My daughter gets distracted easily"

"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.

With the help of Etutorworld, my daughter has been now selected in the Gifted and Talented Program   for the school district"

- Nivea Sharma (via TrustSpot.io)

What is a Proportion?

A proportion is an equation that states two ratios are equal.

It typically consists of four numbers or expressions, with two ratios set equal to each other. For instance, in the proportion a/b = c/d, the product of the means b and c is equal to the product of the extremes a and d, i.e., ad = bc.

Solving Proportions: Methods

1. Cross Multiplication Method:

  • This method is commonly used to solve proportions. In a proportion a/b = c/d, you can cross multiply by multiplying a with d and b with c. This yields the equation ad = bc.
  •  Then, solve the resulting equation for the unknown variable.

    2. Scale Factor Method:

      • This method involves finding the scale factor, which is the ratio of corresponding lengths in similar figures. For instance, if two rectangles are similar, the ratio of their corresponding side lengths is the scale factor.
      • Once you find the scale factor, you can use it to solve for unknown values.

        3. Fraction Method:

        • In this method, rewrite the given proportions as fractions.
          • Then, apply the properties of fractions to solve for the unknown values. For example, you can multiply both sides of the equation by the reciprocal of one fraction to isolate the variable.

          There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.

          Our kid is doing much better with a higher score.

          - Meg, Parent (via TrustSpot.io)

          7th Grade Tutoring

          eTutorWorld offers Personalized Online Tutoring for Math, Science, English, and Standardised Tests.

          Our Tutoring Packs start at just under $22.49 per hour, and come with a moneyback guarantee.

          Schedule a FREE Trial Session, and experience quality tutoring for yourself. (No credit card required.)

          Example Problems

          Problem 1: If 3 apples cost $2.25, how much would 5 apples cost?

          Proportions Example 1

          Problem 2: In a similar figure, one side is 4 cm and the corresponding side is 6 cm. What is the scale factor?

          Proportions Example 2

          Do You Stack Up Against the Best?

          If you have 30 minutes, try our free diagnostics test and assess your skills.

          Solving Proportions FAQS

          What are proportions in mathematics?

          Proportions are mathematical expressions that establish equality between two ratios. They are often used to compare the sizes of different quantities.

          Why are proportions important in real life?

          Proportions are essential in various real-life scenarios, such as cooking (adjusting recipe quantities), finance (calculating interest rates), and map reading (determining distances).

          How do I know when to use proportions to solve a problem?

          Proportions are commonly used when dealing with situations involving ratios, similar figures, or direct variation. If a problem involves comparing two quantities or finding an unknown value based on a known ratio, proportions are likely applicable.

          What are the different methods for solving proportions?

          The main methods for solving proportions include the cross multiplication method, scale factor method, and fraction method. Each method has its advantages depending on the problem context.

          Can proportions be used in geometry?

          Yes, proportions are frequently used in geometry, particularly when dealing with similar figures. They help determine corresponding side lengths or angles in similar triangles or other shapes.

          How can I check if my solution to a proportion problem is correct?

          After solving a proportion, you can check your solution by substituting the found value back into the original equation. If both sides of the equation are equal, then your solution is correct.

          Are there any common mistakes to avoid when solving proportions?

          One common mistake is forgetting to cross multiply correctly when using the cross multiplication method. It’s also important to ensure that all ratios in the proportion are set up correctly before solving.

          Can proportions be used in financial calculations?

          Yes, proportions are widely used in finance, especially for calculating interest rates, loan repayments, and investment returns. They help determine proportional relationships between different financial quantities.

          How can I practice solving proportions?

          You can practice solving proportions by working through example problems, using online resources and textbooks, and creating your own problems to solve. Additionally, participating in group study sessions or seeking help from a teacher or tutor can be beneficial.

          Are there any real-world applications where proportions are particularly useful?

          Proportions are incredibly useful in various real-world applications, including business (calculating profit margins), science (mixing chemical solutions), and engineering (scaling models or blueprints). Mastering proportion-solving skills can significantly enhance problem-solving abilities across different fields.

          Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

          Affordable Tutoring Now Starts at Just $22.49

          eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

          What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

          K12 Online Tutoring Free Trial - Step 1K12 Online Tutoring Free Trial - Step 2K12 Online Tutoring Free Trial - Step 3


          Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a FREE TRIAL Session with us today.

          *There is no purchase obligation or credit card requirement

          Save 10% on ALL Tutoring Packs with Code EARTH10
          Save 10% with Code EARTH10