Question

the value of x if 4, x ,32 and 40 are in proportion​

Answer 1

Given :

⬤ 4 , x , 32 and 40 are in Proportion .

To Find :

⬤ Value of x .

Formula Used :

$\bf[\:{Product\:of\: Extremes = Product\:of\:Means}\:]$

Solution :

4 : x :: 32 : 40

Product of Extremes = Product of Means

(4 × 40) = (x × 32)

x = 4 × 40/32

x = 160/32

x = 5

Therefore , The Value of x is 5.

Option a) 5 is Correct .

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Extra Information :

Proportion :

Proportion is a Statement which shows that two ratios are equal . Such an equality of two ratios is called Proportion .

Like → 13 : 247 and 15 : 75

Extreme and Means of a Proportion :

Suppose , a , b , c and d are in Proportion .

The First and Fourth terms (a , d) are Called Extremes terms or Extremes . And the Second and Third terms (b , c) are called Middle Terms or Means .

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Answer 2

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4 : x :: 32 : 40

Product of Extremes = Product of Means

• (4 × 40) = (x × 32)
• x = 4 × 40/32
• x = 160/32
• x = 5

Therefore , The Value of x is 5.

Option a) 5 is Correct .