Answer:
The value of x is 5.
Step-by-step explanation:
The given proportion is [tex]\frac{25}{20}=\frac{x}{4}[/tex]
In order to find the value of x for which the proportion is true, we can multiply both sides by 4.
[tex]\frac{25}{20}\cdot4=\frac{x}{4}\cdot4[/tex]
On simplifying, we get
[tex]\frac{25}{5}=x\\\\x=5[/tex]
Thus, the value of x is 5.
Let us check if the proportion is true for x=5 or not.
Substitute x = 5 in the given equation.
[tex]\frac{25}{20}=\frac{5}{4}[/tex]
Simplify the left hand side
[tex]\frac{5\times5}{5\times4}=\frac{5}{4}\\\\\frac{5}{4}=\frac{5}{4}[/tex]
We got a true result. Hence, the proportion is true for x=5.
Thus, the value of x is 5.
