Question

if x : 4 :: 5 : 2 , what is the value of x​

Answer 1

X : 4 :: 5 : 2

= 2x = 20
= x =20/2
= x =10

Now answer is in description

Answer 2

The value of x is 10.

Given,

The proportions = x : 4 :: 5 : 2

To Find,

The value of x.

Solution,

We will use the proportions formula in this question to find the number.

Before solving the question, we must understand the concept of extreme and mean in the proportions.

Extreme:- If a proportion is written in ratio form using a colon, the extremes are the values that are furthest apart.

For example:- p : q :: r : s. In this, 'p' and 's' is the extreme of proportions.

Mean:- In proportions, the means are the values associated with the middle terms.

For example:- p : q :: r : s. In this, 'q' and 'r' is the mean of proportions.

The formula of Proportions:

Product of extreme = product of mean.

⇒ p × s = q × r.

Now, let's solve the question using the formula,

⇒ p × s = q × r.

⇒ x × 2 = 4 × 5

⇒ 2x = 20

On dividing, we get the value of x,

⇒ x = 10.

The value of x is 10.

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