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Finding the Fourth Proportional to 8,331.83, 12,503.93 and 3,949.30

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Solution

The fourth proportional to 8,331.83, 12,503.93 and 3,949.30 is: 5,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.83 : 12,503.93 = 3,949.30 : x
  2. Step 2: Convert to fraction form
    8,331.83/12,503.93 = 3,949.30/x
  3. Step 3: Cross multiply
    8,331.83x = 12,503.93 × 3,949.30
  4. Step 4: Simplify right side
    8,331.83x = 49,381,770.75
  5. Step 5: Solve for x
    x = 49,381,770.75/8,331.83
  6. Step 6: Final answer
    x = 5,926.88

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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.