Q62. - Algebra 2

Question

BASIC SKILL

Use cross products to solve each proportion.

62. $\frac{5}{6}=\frac{k}{4}$

Step-by-Step Solution

Answer

Given proportion is simplified to $k=\frac{10}{3}$

Step 1 - Cross product between two proportions

Let $\frac{a}{b}$ and $\frac{c}{d}$ be two equal proportions that is $\frac{a}{b}=\frac{c}{d}$

Then cross product is defined as multiplication of denominator of one proportion with the numerator of other proportion, that is $ad=bc$

Step 2 - Substitution

Substitute 5 for a, 6 for b, k for c, and 4 for d into $ad=bc$ gives

$5\times 4=6\times k$

Step 3 - Simplify 5 × 4 = 6 × k

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

 $\begin{array}{c}20=6k\\ k=\frac{20}{6}\\ k=\frac{10}{3}\end{array}$