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Finding the Fourth Proportional to 19,665.60, 29,490 and 9,129.12

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Solution

The fourth proportional to 19,665.60, 29,490 and 9,129.12 is: 13,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.60 : 29,490 = 9,129.12 : x
  2. Step 2: Convert to fraction form
    19,665.60/29,490 = 9,129.12/x
  3. Step 3: Cross multiply
    19,665.60x = 29,490 × 9,129.12
  4. Step 4: Simplify right side
    19,665.60x = 269,217,748.80
  5. Step 5: Solve for x
    x = 269,217,748.80/19,665.60
  6. Step 6: Final answer
    x = 13,689.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.