Solving Proportions: Find the Value of x
The problem presents a proportion involving an unknown value, $x$:
$1.75 : x :: 5 : 8$
This notation means that the ratio of 1.75 to $x$ is equivalent to the ratio of 5 to 8.
Proportion Equation Setup
We can express this proportion as an equation of fractions:
$ \frac{1.75}{x} = \frac{5}{8} $
Step-by-Step Calculation
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Apply the cross-multiplication rule for proportions. Multiply the first term by the fourth term and set it equal to the product of the second term and the third term:
$ 1.75 \times 8 = 5 \times x $
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Calculate the product on the left side of the equation:
$ 14 = 5x $
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To find the value of $x$, divide both sides of the equation by 5:
$ x = \frac{14}{5} $
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Perform the division:
$ x = 2.8 $
Result
The value of $x$ that satisfies the proportion is 2.8.
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Important Questions from Direct or Indirect Proportion
Meena sells 70 red marbles and 105 blue marbles in boxes without mixing such that each box has x number of marbles. What is the value of x?
If 3A = 4B = 5C, then A : B : C is equal to:
Divide Rs. 156 in the ratio 1 : 2 : 4 : 5. The rupees in the respective ratios are given by:
A. 13, 26, 53 & 64
B. 13, 26, 51 & 66
C. 13, 26, 52 & 65
D. 13, 25, 53 & 65The ratio of the third proportion of 5 and 12 with the fourth proportion of 5, 8 and 9 is:
Mrs. Deepa Devi saves 30% of her salary. If she receives Rs. 42,000 per month as her salary, what is her monthly expenditure?
