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Finding the Fourth Proportional to 25,470.88, 38,199.84 and 9,880

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Solution

The fourth proportional to 25,470.88, 38,199.84 and 9,880 is: 14,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.88 : 38,199.84 = 9,880 : x
  2. Step 2: Convert to fraction form
    25,470.88/38,199.84 = 9,880/x
  3. Step 3: Cross multiply
    25,470.88x = 38,199.84 × 9,880
  4. Step 4: Simplify right side
    25,470.88x = 377,414,419.20
  5. Step 5: Solve for x
    x = 377,414,419.20/25,470.88
  6. Step 6: Final answer
    x = 14,817.49

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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.