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Finding the Fourth Proportional to 25,098, 34,635.24 and 13,920

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Solution

The fourth proportional to 25,098, 34,635.24 and 13,920 is: 19,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098 : 34,635.24 = 13,920 : x
  2. Step 2: Convert to fraction form
    25,098/34,635.24 = 13,920/x
  3. Step 3: Cross multiply
    25,098x = 34,635.24 × 13,920
  4. Step 4: Simplify right side
    25,098x = 482,122,540.80
  5. Step 5: Solve for x
    x = 482,122,540.80/25,098
  6. Step 6: Final answer
    x = 19,209.60

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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.