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Finding the Fourth Proportional to 7,914.71, 11,874.92 and 3,701.72

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Solution

The fourth proportional to 7,914.71, 11,874.92 and 3,701.72 is: 5,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.71 : 11,874.92 = 3,701.72 : x
  2. Step 2: Convert to fraction form
    7,914.71/11,874.92 = 3,701.72/x
  3. Step 3: Cross multiply
    7,914.71x = 11,874.92 × 3,701.72
  4. Step 4: Simplify right side
    7,914.71x = 43,957,640.04
  5. Step 5: Solve for x
    x = 43,957,640.04/7,914.71
  6. Step 6: Final answer
    x = 5,553.91

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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.