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Understanding Proportions: Ratios Made Easy

Learn about proportions, cross products, and solving proportions with simple examples. Practice exercises included to enhance understanding and application.

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Understanding Proportions: Ratios Made Easy

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  1. Proportions Two ratios that are equal

  2. Vocabulary • Proportion—an equation that shows that two ratios are equivalent. • Cross Product—theproduct of the numerator of one ratio and the denominator of the other ratio.

  3. In simple proportions, all you need to do is examine the fractions. If the fractions both reduce to the same value, the proportion is true. 5 2 15 6 = This is a true proportion, since both fractions reduce to 1/3.

  4. Solving the proportion—Process of using cross products to find a missing term in a proportion. • Solving a proportion is similar to solving an equation.

  5. To determine the unknown value you must cross multiply. (3)(x) = (2)(9) 3x = 18 x = 6 Check your proportion (3)(x) = (2)(9) (3)(6) = (2)(9) 18 = 18 True!

  6. 1) Are the following true proportions? 2 10 3 15 2 10 3 5 = =

  7. 2) Solve for x: 4 x 6 42 =

  8. 3) Solve for x: 25 5 x 2 =

  9. 4) If 4 tickets to a show cost $9.00, find the cost of 14 tickets. 5) A house which is appraised for $10,000 pays $300 in taxes. What should the tax be on a house appraised at $15,000. Solve the following problems.

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