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Finding the Fourth Proportional to 8,343.58, 12,517.26 and 3,898

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Solution

The fourth proportional to 8,343.58, 12,517.26 and 3,898 is: 5,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.58 : 12,517.26 = 3,898 : x
  2. Step 2: Convert to fraction form
    8,343.58/12,517.26 = 3,898/x
  3. Step 3: Cross multiply
    8,343.58x = 12,517.26 × 3,898
  4. Step 4: Simplify right side
    8,343.58x = 48,792,279.48
  5. Step 5: Solve for x
    x = 48,792,279.48/8,343.58
  6. Step 6: Final answer
    x = 5,847.88

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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.