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Finding the Fourth Proportional to 24,898, 34,359.60 and 13,720

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Solution

The fourth proportional to 24,898, 34,359.60 and 13,720 is: 18,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898 : 34,359.60 = 13,720 : x
  2. Step 2: Convert to fraction form
    24,898/34,359.60 = 13,720/x
  3. Step 3: Cross multiply
    24,898x = 34,359.60 × 13,720
  4. Step 4: Simplify right side
    24,898x = 471,413,712
  5. Step 5: Solve for x
    x = 471,413,712/24,898
  6. Step 6: Final answer
    x = 18,933.80

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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.