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Finding the Fourth Proportional to 21,640.64, 29,865.84 and 12,209.92

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Solution

The fourth proportional to 21,640.64, 29,865.84 and 12,209.92 is: 16,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.64 : 29,865.84 = 12,209.92 : x
  2. Step 2: Convert to fraction form
    21,640.64/29,865.84 = 12,209.92/x
  3. Step 3: Cross multiply
    21,640.64x = 29,865.84 × 12,209.92
  4. Step 4: Simplify right side
    21,640.64x = 364,659,517.13
  5. Step 5: Solve for x
    x = 364,659,517.13/21,640.64
  6. Step 6: Final answer
    x = 16,850.68

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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.