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Finding the Fourth Proportional to 49,624.62, 74,393.16 and 18,438

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Solution

The fourth proportional to 49,624.62, 74,393.16 and 18,438 is: 27,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,624.62 : 74,393.16 = 18,438 : x
  2. Step 2: Convert to fraction form
    49,624.62/74,393.16 = 18,438/x
  3. Step 3: Cross multiply
    49,624.62x = 74,393.16 × 18,438
  4. Step 4: Simplify right side
    49,624.62x = 1,371,661,084.08
  5. Step 5: Solve for x
    x = 1,371,661,084.08/49,624.62
  6. Step 6: Final answer
    x = 27,640.74

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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.