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Finding the Fourth Proportional to 48,464.88, 72,691.92 and 13,400

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Solution

The fourth proportional to 48,464.88, 72,691.92 and 13,400 is: 20,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,464.88 : 72,691.92 = 13,400 : x
  2. Step 2: Convert to fraction form
    48,464.88/72,691.92 = 13,400/x
  3. Step 3: Cross multiply
    48,464.88x = 72,691.92 × 13,400
  4. Step 4: Simplify right side
    48,464.88x = 974,071,728
  5. Step 5: Solve for x
    x = 974,071,728/48,464.88
  6. Step 6: Final answer
    x = 20,098.51

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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.