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Finding the Fourth Proportional to 3,247.97, 4,871.91 and 1,397.90

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Solution

The fourth proportional to 3,247.97, 4,871.91 and 1,397.90 is: 2,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.97 : 4,871.91 = 1,397.90 : x
  2. Step 2: Convert to fraction form
    3,247.97/4,871.91 = 1,397.90/x
  3. Step 3: Cross multiply
    3,247.97x = 4,871.91 × 1,397.90
  4. Step 4: Simplify right side
    3,247.97x = 6,810,442.99
  5. Step 5: Solve for x
    x = 6,810,442.99/3,247.97
  6. Step 6: Final answer
    x = 2,096.83

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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.