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Finding the Fourth Proportional to 25,490.88, 38,229.84 and 9,900

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Solution

The fourth proportional to 25,490.88, 38,229.84 and 9,900 is: 14,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490.88 : 38,229.84 = 9,900 : x
  2. Step 2: Convert to fraction form
    25,490.88/38,229.84 = 9,900/x
  3. Step 3: Cross multiply
    25,490.88x = 38,229.84 × 9,900
  4. Step 4: Simplify right side
    25,490.88x = 378,475,416.00
  5. Step 5: Solve for x
    x = 378,475,416.00/25,490.88
  6. Step 6: Final answer
    x = 14,847.48

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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.