Question

Solve the proportion.

$\frac{7.5}{x}=\frac{5}{8}$

Short answer

The value of $x$in the given proportion is 12.

Step-by-step solution

Step 1. Given Information.

The proportion is $\frac{7.5}{x}=\frac{5}{8}$.

Step 2. Formula used.

Cross-product property:

If $\frac{a}{b}=\frac{c}{d}$, where $b\ne 0$and $d\ne 0$, then $ad=bc$.

Step 3. Calculation.

Consider the proportion given:

$\frac{7.5}{x}=\frac{5}{8}$

Use cross product property.

$\begin{array}{c}7.5\cdot 8=5\cdot x\\ 60=5x\text{[multiply]}\\ \frac{60}{5}=\frac{5x}{5}\text{[divideeachsideby5]}\\ 12=x\text{[simplify]}\end{array}$

Hence,

$\frac{7.5}{12}=\frac{5}{8}$

Step 4. Conclusion.

The value of $x$ in the given proportion is 12.