Finding the Fourth Proportional to 83.92, 115.82 and 47.09
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Solution
The fourth proportional to 83.92, 115.82 and 47.09 is: 64.98
Step by Step Solution
- Step 1: Write the proportion equation
83.92 : 115.82 = 47.09 : x - Step 2: Convert to fraction form
83.92/115.82 = 47.09/x - Step 3: Cross multiply
83.92x = 115.82 × 47.09 - Step 4: Simplify right side
83.92x = 5,453.31 - Step 5: Solve for x
x = 5,453.31/83.92 - Step 6: Final answer
x = 64.98
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.