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Finding the Fourth Proportional to 8,251.20, 12,381.06 and 3,869.10

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Solution

The fourth proportional to 8,251.20, 12,381.06 and 3,869.10 is: 5,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.20 : 12,381.06 = 3,869.10 : x
  2. Step 2: Convert to fraction form
    8,251.20/12,381.06 = 3,869.10/x
  3. Step 3: Cross multiply
    8,251.20x = 12,381.06 × 3,869.10
  4. Step 4: Simplify right side
    8,251.20x = 47,903,559.25
  5. Step 5: Solve for x
    x = 47,903,559.25/8,251.20
  6. Step 6: Final answer
    x = 5,805.65

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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.