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Finding the Fourth Proportional to 33,149.50, 49,724.38 and 13,428.43

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Solution

The fourth proportional to 33,149.50, 49,724.38 and 13,428.43 is: 20,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.50 : 49,724.38 = 13,428.43 : x
  2. Step 2: Convert to fraction form
    33,149.50/49,724.38 = 13,428.43/x
  3. Step 3: Cross multiply
    33,149.50x = 49,724.38 × 13,428.43
  4. Step 4: Simplify right side
    33,149.50x = 667,720,248.60
  5. Step 5: Solve for x
    x = 667,720,248.60/33,149.50
  6. Step 6: Final answer
    x = 20,142.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.