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Finding the Fourth Proportional to 3,591.73, 5,385.38 and 1,397.90

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Solution

The fourth proportional to 3,591.73, 5,385.38 and 1,397.90 is: 2,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.73 : 5,385.38 = 1,397.90 : x
  2. Step 2: Convert to fraction form
    3,591.73/5,385.38 = 1,397.90/x
  3. Step 3: Cross multiply
    3,591.73x = 5,385.38 × 1,397.90
  4. Step 4: Simplify right side
    3,591.73x = 7,528,222.70
  5. Step 5: Solve for x
    x = 7,528,222.70/3,591.73
  6. Step 6: Final answer
    x = 2,095.99

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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.