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Finding the Fourth Proportional to 20,472, 28,251.36 and 11,640

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Solution

The fourth proportional to 20,472, 28,251.36 and 11,640 is: 16,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472 : 28,251.36 = 11,640 : x
  2. Step 2: Convert to fraction form
    20,472/28,251.36 = 11,640/x
  3. Step 3: Cross multiply
    20,472x = 28,251.36 × 11,640
  4. Step 4: Simplify right side
    20,472x = 328,845,830.40
  5. Step 5: Solve for x
    x = 328,845,830.40/20,472
  6. Step 6: Final answer
    x = 16,063.20

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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.