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Finding the Fourth Proportional to 8,137.80, 12,206.70 and 3,753.96

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Solution

The fourth proportional to 8,137.80, 12,206.70 and 3,753.96 is: 5,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.80 : 12,206.70 = 3,753.96 : x
  2. Step 2: Convert to fraction form
    8,137.80/12,206.70 = 3,753.96/x
  3. Step 3: Cross multiply
    8,137.80x = 12,206.70 × 3,753.96
  4. Step 4: Simplify right side
    8,137.80x = 45,823,463.53
  5. Step 5: Solve for x
    x = 45,823,463.53/8,137.80
  6. Step 6: Final answer
    x = 5,630.94

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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.