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
If 3A = 4B = 5C, then A : B : C is equal to:
The monthly incomes of A and B are in the ration 3 : 5 and the ratio of their savings is 2 : 3 If the income of B is equal to three times the savings of A, then what is the ratio of the expenditures of A and B?
If an amount of Rs. 990 is divided among A, B and C in the ratio of 3 : 4 : 2, then B will get:
The ratio of boys and girls in a group is 7 : 6. If 4 more boys join the group and 3 girls leave the group, then the ratio of boys to girls becomes 4 : 3. What is the total number of boys and girls initially in the group?
The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9.
