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Finding the Fourth Proportional to 8,206.67, 12,304.98 and 3,819.92

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Solution

The fourth proportional to 8,206.67, 12,304.98 and 3,819.92 is: 5,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.67 : 12,304.98 = 3,819.92 : x
  2. Step 2: Convert to fraction form
    8,206.67/12,304.98 = 3,819.92/x
  3. Step 3: Cross multiply
    8,206.67x = 12,304.98 × 3,819.92
  4. Step 4: Simplify right side
    8,206.67x = 47,003,977.68
  5. Step 5: Solve for x
    x = 47,003,977.68/8,206.67
  6. Step 6: Final answer
    x = 5,727.53

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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.