If 36: 84 :: 42: X, then the value of X, is: Option 1: 18 Option 2: 98 Option 3: 72 Option 4: 48

Answer: 98. Solution: The proportion 36:84 :: 42:X means: 36/84 = 42/X Cross multiplying: 36 x X = 84 x 42 36X = 3528 X = 3528/36 X = 98 Alternatively, simplify the first ratio: 36/84 = 3/7 Since the ratios are equal: 3/7 = 42/X 3X = 7 x 42 3X = 294 X = 98 Therefore, the value of X is 98.

Arithmetic

Ratio, Proportion & Variation

Easy

If 36: 84 :: 42: X, then the value of X, is:

✅ Correct Option: 2

The proportion 36:84 :: 42:X means:

$\dfrac{36}{84} = \dfrac{42}{X}$

Cross multiplying:

$36 \times X = 84 \times 42$

$36X = 3528$

$X = \dfrac{3528}{36}$

$X = 98$

Alternatively, simplify the first ratio:

$\dfrac{36}{84} = \dfrac{3}{7}$

Since the ratios are equal:

$\dfrac{3}{7} = \dfrac{42}{X}$

$3X = 7 \times 42$

$3X = 294$

$X = 98$

Therefore, the value of X is 98.

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