Question

Find the value of x.

$\frac{x}{4}=\frac{3}{5}$

Short answer

The value of X is $\frac{12}{5}$.

Step-by-step solution

Step 1. Given information.

The ratio here given is,

$\frac{x}{4}=\frac{3}{5}$

Step 2. Concept and Formula Used.

The properties of proportion,

if$\frac{a}{b}=\frac{c}{d}$ then,$ad=bc$

The given ratio is$\frac{x}{4}=\frac{3}{5}$,

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Then,

$5x=12$

Step 4. Divide both sides by 5.

$\begin{array}{l}\frac{5x}{5}=\frac{12}{5}\\ x=\frac{12}{5}\end{array}$

Therefore, The value of X is$\frac{12}{5}$ .