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Chapter 4: Q61. (page 181)

Use cross products to solve each proportion.

23=a42

Short Answer

Expert verified

Given proportion is simplified to a=28

Step by step solution

01

- Cross product between two proportions

Let a'b' and c'd' be two equal proportions that is a'b'=c'd'

Then cross product is defined as multiplication of denominator of one proportion with the numerator of other proportion, that is a'd'=b'c'

02

- Substitution

Substitute 2 for a', 3 for b', afor c', and 42 for d' into a'd'=b'c' gives

2脳42=3脳a

03

- Simplify 2×42=3×a

To simplify this expression multiply both the numbers of left side and then divide it from number on the right as shown below.

84=3aa=843a=28

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