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Finding the Fourth Proportional to 12,138.20, 18,200.10 and 6,306.20

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Solution

The fourth proportional to 12,138.20, 18,200.10 and 6,306.20 is: 9,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.20 : 18,200.10 = 6,306.20 : x
  2. Step 2: Convert to fraction form
    12,138.20/18,200.10 = 6,306.20/x
  3. Step 3: Cross multiply
    12,138.20x = 18,200.10 × 6,306.20
  4. Step 4: Simplify right side
    12,138.20x = 114,773,470.62
  5. Step 5: Solve for x
    x = 114,773,470.62/12,138.20
  6. Step 6: Final answer
    x = 9,455.56

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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.