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Finding the Fourth Proportional to 3,801.62, 5,691.92 and 1,948.74

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Solution

The fourth proportional to 3,801.62, 5,691.92 and 1,948.74 is: 2,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.62 : 5,691.92 = 1,948.74 : x
  2. Step 2: Convert to fraction form
    3,801.62/5,691.92 = 1,948.74/x
  3. Step 3: Cross multiply
    3,801.62x = 5,691.92 × 1,948.74
  4. Step 4: Simplify right side
    3,801.62x = 11,092,062.44
  5. Step 5: Solve for x
    x = 11,092,062.44/3,801.62
  6. Step 6: Final answer
    x = 2,917.72

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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.