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Finding the Fourth Proportional to 8,286.87, 12,430.31 and 2,363.88

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Solution

The fourth proportional to 8,286.87, 12,430.31 and 2,363.88 is: 3,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.87 : 12,430.31 = 2,363.88 : x
  2. Step 2: Convert to fraction form
    8,286.87/12,430.31 = 2,363.88/x
  3. Step 3: Cross multiply
    8,286.87x = 12,430.31 × 2,363.88
  4. Step 4: Simplify right side
    8,286.87x = 29,383,761.20
  5. Step 5: Solve for x
    x = 29,383,761.20/8,286.87
  6. Step 6: Final answer
    x = 3,545.82

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1.5x scale

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.