Finding the Fourth Proportional to 32.09, 47.89 and 31.49
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Solution
The fourth proportional to 32.09, 47.89 and 31.49 is: 46.99
Step by Step Solution
- Step 1: Write the proportion equation
32.09 : 47.89 = 31.49 : x - Step 2: Convert to fraction form
32.09/47.89 = 31.49/x - Step 3: Cross multiply
32.09x = 47.89 × 31.49 - Step 4: Simplify right side
32.09x = 1,508.06 - Step 5: Solve for x
x = 1,508.06/32.09 - Step 6: Final answer
x = 46.99
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.