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Finding the Fourth Proportional to 21,640, 29,863.20 and 11,704

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Solution

The fourth proportional to 21,640, 29,863.20 and 11,704 is: 16,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640 : 29,863.20 = 11,704 : x
  2. Step 2: Convert to fraction form
    21,640/29,863.20 = 11,704/x
  3. Step 3: Cross multiply
    21,640x = 29,863.20 × 11,704
  4. Step 4: Simplify right side
    21,640x = 349,518,892.80
  5. Step 5: Solve for x
    x = 349,518,892.80/21,640
  6. Step 6: Final answer
    x = 16,151.52

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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.