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If x, 24, 30 and 16 are in proportion then find the value of x.

  • a)
    30

  • b)
    45

  • c)
    15

  • d)
    None of these

Correct answer is option 'B'. Can you explain this answer?
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If x, 24, 30 and 16 are in proportion then find the value of x.a)30b)4...
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Most Upvoted Answer
If x, 24, 30 and 16 are in proportion then find the value of x.a)30b)4...
Given: x, 24, 30 and 16 are in proportion.

To find: the value of x.

Solution:

When four numbers a, b, c, and d are in proportion, it means:

a : b = c : d

By cross-multiplication, we get:

a × d = b × c

Let's apply this formula to the given numbers:

x : 24 = 30 : 16

Cross-multiplying, we get:

x × 16 = 24 × 30

x = (24 × 30) / 16

x = 45

Therefore, the value of x is 45.

Hence, the correct answer is option B.
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Community Answer
If x, 24, 30 and 16 are in proportion then find the value of x.a)30b)4...
As per the question we have to find the value of x if x,24,30 and 16 are in proportion.

So,

Step 1:

First write it in mathematical form which means ⤵️⤵️

x : 24 :: 30 : 16

Step 2:

Remember the formula:

Product of means = Product of extremes or product of extremes= product of means

Step 3:

Write the value as per the formula given above in the second step.

16 × x = 24×30
16x= 720

Step 4:

Now,to find x divide 720 from 16.

x = 720÷16
x = 45

So, the x = 45 which means ⤵️⤵️

45,24,30 and 16 are in proportion.
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