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Finding the Fourth Proportional to 3,897.97, 5,372.24 and 2,951.50

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Solution

The fourth proportional to 3,897.97, 5,372.24 and 2,951.50 is: 4,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.97 : 5,372.24 = 2,951.50 : x
  2. Step 2: Convert to fraction form
    3,897.97/5,372.24 = 2,951.50/x
  3. Step 3: Cross multiply
    3,897.97x = 5,372.24 × 2,951.50
  4. Step 4: Simplify right side
    3,897.97x = 15,856,166.36
  5. Step 5: Solve for x
    x = 15,856,166.36/3,897.97
  6. Step 6: Final answer
    x = 4,067.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.