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Finding the Fourth Proportional to 3,747.92, 5,620.90 and 1,114.72

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Solution

The fourth proportional to 3,747.92, 5,620.90 and 1,114.72 is: 1,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.92 : 5,620.90 = 1,114.72 : x
  2. Step 2: Convert to fraction form
    3,747.92/5,620.90 = 1,114.72/x
  3. Step 3: Cross multiply
    3,747.92x = 5,620.90 × 1,114.72
  4. Step 4: Simplify right side
    3,747.92x = 6,265,701.54
  5. Step 5: Solve for x
    x = 6,265,701.54/3,747.92
  6. Step 6: Final answer
    x = 1,671.78

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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.