Solve for x in the equation 7/4 = x/12.
Understand the Problem
The question is asking us to solve for the variable x in the given proportion equation. We will cross-multiply and isolate x to find its value.
Answer
The value of \( x \) is \( 21 \).
Answer for screen readers
The value of ( x ) is ( 21 ).
Steps to Solve
- Cross-Multiply the Proportions
We start by cross-multiplying the two ratios to eliminate the fractions. This means we will multiply the numerator of one fraction by the denominator of the other fraction:
$$ 7 \cdot 12 = 4 \cdot x $$
- Perform the Multiplication
Next, we calculate the left side of the equation:
$$ 84 = 4x $$
- Isolate x
Now, we want to isolate $x$ by dividing both sides by 4:
$$ x = \frac{84}{4} $$
- Calculate the Final Value of x
Perform the division to get the final value of $x$:
$$ x = 21 $$
The value of ( x ) is ( 21 ).
More Information
In proportions, cross-multiplication is a reliable method to solve for an unknown variable. It's commonly used in problems dealing with ratios.
Tips
- Not cross-multiplying correctly: Make sure to multiply the numerator of one fraction by the denominator of the other fraction properly.
- Incorrectly simplifying the equation: When isolating ( x ), double-check the division to avoid calculation errors.
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