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Finding the Fourth Proportional to 5,265.97, 7,897.60 and 2,491.90

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Solution

The fourth proportional to 5,265.97, 7,897.60 and 2,491.90 is: 3,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.97 : 7,897.60 = 2,491.90 : x
  2. Step 2: Convert to fraction form
    5,265.97/7,897.60 = 2,491.90/x
  3. Step 3: Cross multiply
    5,265.97x = 7,897.60 × 2,491.90
  4. Step 4: Simplify right side
    5,265.97x = 19,680,029.44
  5. Step 5: Solve for x
    x = 19,680,029.44/5,265.97
  6. Step 6: Final answer
    x = 3,737.21

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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.