Question
What number will be in the place of x?
2.8 : 3.8 : : x : 5.7
The correct answer is
4.2
Proportion Calculation: Finding x
The given problem presents a proportion: $2.8 : 3.8 : : x : 5.7$
This notation means the ratio of the first two numbers is equal to the ratio of the last two numbers. We can write this as an equation:
$ \frac{2.8}{3.8} = \frac{x}{5.7} $
Solving for x
To find the value of x, we need to rearrange the equation.
-
Isolate x by multiplying both sides of the equation by $5.7$:
$ x = \frac{2.8}{3.8} \times 5.7 $
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Perform the calculation:
$ x = \frac{2.8 \times 5.7}{3.8} $
$ x = \frac{15.96}{3.8} $
$ x = 4.2 $
Therefore, the number in the place of x is $4.2$.
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Important Questions from Ratio and Proportion (Railways)
- Find the mean proportional between 7.2 and 20.
- The monthly incomes of two friends Tushar and Salil, are in the ratio 6 : 7 respectively and each of them saves ₹66,000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Tushar (in ₹).
- If 3A = 4B = 8C, what is A : B : C?
- The monthly incomes of two friends Vipul and Vijay, are in the ratio 6 : 7 respectively and each of them saves ₹66,000 every month. If the ratio of their monthly expenditure is 1 : 3, find the monthly income of Vipul (in ₹).
If a : b = 3 : 2 and b : c = 3 : 2, then a : b : c = ?
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