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Finding the Fourth Proportional to 8,221.87, 12,340.13 and 3,841.80

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Solution

The fourth proportional to 8,221.87, 12,340.13 and 3,841.80 is: 5,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.87 : 12,340.13 = 3,841.80 : x
  2. Step 2: Convert to fraction form
    8,221.87/12,340.13 = 3,841.80/x
  3. Step 3: Cross multiply
    8,221.87x = 12,340.13 × 3,841.80
  4. Step 4: Simplify right side
    8,221.87x = 47,408,311.43
  5. Step 5: Solve for x
    x = 47,408,311.43/8,221.87
  6. Step 6: Final answer
    x = 5,766.12

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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.