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Finding the Fourth Proportional to 20,464, 28,240.32 and 11,632

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Solution

The fourth proportional to 20,464, 28,240.32 and 11,632 is: 16,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464 : 28,240.32 = 11,632 : x
  2. Step 2: Convert to fraction form
    20,464/28,240.32 = 11,632/x
  3. Step 3: Cross multiply
    20,464x = 28,240.32 × 11,632
  4. Step 4: Simplify right side
    20,464x = 328,491,402.24
  5. Step 5: Solve for x
    x = 328,491,402.24/20,464
  6. Step 6: Final answer
    x = 16,052.16

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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.