Chapter 6.3, Problem 20E

To determine

To evaluate: the proportions $\frac{16}{36}=\frac{4}{d}$ .

Answer to Problem 20E

The answer of the proportions $\frac{16}{36}=\frac{4}{d}$ is $d=9$ .

Explanation of Solution

Given information: The provided proportion is $\frac{16}{36}=\frac{4}{d}$ .

Calculation :

The method used here to solve the proportion is cross products property. The product of the numerator of one ratio and of the denominator of the other is known as a cross product.

  $\begin{array}{l}\frac{16}{36}=\frac{4}{d}\text{ [Write the proportion}\text{.]}\\ 16\times d=36\times 4\text{ [Apply cross products property}\text{.]}\\ 16d=144\text{ [Multiply}\text{.]}\\ \frac{16d}{16}=\frac{144}{16}\text{ [Divide each side by 16 to place the variable on one side of the equation}.]\\ d=9\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportions $\frac{16}{36}=\frac{4}{d}$ is $d=9$ .