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Finding the Fourth Proportional to 8,269.20, 12,400.20 and 3,337.20

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Solution

The fourth proportional to 8,269.20, 12,400.20 and 3,337.20 is: 5,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.20 : 12,400.20 = 3,337.20 : x
  2. Step 2: Convert to fraction form
    8,269.20/12,400.20 = 3,337.20/x
  3. Step 3: Cross multiply
    8,269.20x = 12,400.20 × 3,337.20
  4. Step 4: Simplify right side
    8,269.20x = 41,381,947.44
  5. Step 5: Solve for x
    x = 41,381,947.44/8,269.20
  6. Step 6: Final answer
    x = 5,004.35

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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.