Applications of Proportions

Read this text. Pay attention to the gray box labeled Cross Products of a Proportion, which shows the simple way to solve for an unknown value in a proportion. Complete the practice problems and check your answers.

Exercises

EXAMPLE 6.40

Write each sentence as a proportion:

(a) 3 is to 7 as 15 is to 35.

(b) 5 hits in 8 at bats is the same as 30 hits in 48 at-bats.

(c) \$ 1.50 for 6 ounces is equivalent to \$ 2.25 for 9 ounces.


EXAMPLE 6.41

Determine whether each equation is a proportion:

(a) \dfrac{4}{9}=\dfrac{12}{28}

(b) \dfrac{17.5}{37.5}=\dfrac{7}{15}


EXAMPLE 6.42

Solve: \dfrac{x}{63}=\dfrac{4}{7}.


EXAMPLE 6.43

Solve: \dfrac{144}{a}=\dfrac{9}{4}.


EXAMPLE 6.44

Solve: \dfrac{52}{91}=\dfrac{-4}{y}.