Chapter 6.3, Problem 30E

To determine

To evaluate: the proportion $\frac{51}{3.4}=\frac{n}{4}$ .

Answer to Problem 30E

The answer of the proportion $\frac{51}{3.4}=\frac{n}{4}$ is $n=60$ .

Explanation of Solution

Given information: The provided proportion is $\frac{51}{3.4}=\frac{n}{4}$ .

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.

  $\begin{array}{l}\frac{51}{3.4}=\frac{n}{4}\text{ [Write the proportion}\text{.]}\\ 51\times 4=3.4\times n\text{}\text{}\text{ [Apply cross products property}\text{.]}\\ 204=3.4n\text{ [Multiply}\text{.]}\\ \frac{204}{3.4}=\frac{3.4n}{3.4}\text{ [Divide each side by 3}\text{.4 to place the variable on one side of the equation}.]\\ n=60\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportion $\frac{51}{3.4}=\frac{n}{4}$ is $n=60$ .