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Finding the Fourth Proportional to 8,138.20, 12,204.90 and 3,206.20

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Solution

The fourth proportional to 8,138.20, 12,204.90 and 3,206.20 is: 4,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.20 : 12,204.90 = 3,206.20 : x
  2. Step 2: Convert to fraction form
    8,138.20/12,204.90 = 3,206.20/x
  3. Step 3: Cross multiply
    8,138.20x = 12,204.90 × 3,206.20
  4. Step 4: Simplify right side
    8,138.20x = 39,131,350.38
  5. Step 5: Solve for x
    x = 39,131,350.38/8,138.20
  6. Step 6: Final answer
    x = 4,808.35

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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.