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Finding the Fourth Proportional to 8,184.38, 12,280.22 and 4,287.88

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Solution

The fourth proportional to 8,184.38, 12,280.22 and 4,287.88 is: 6,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.38 : 12,280.22 = 4,287.88 : x
  2. Step 2: Convert to fraction form
    8,184.38/12,280.22 = 4,287.88/x
  3. Step 3: Cross multiply
    8,184.38x = 12,280.22 × 4,287.88
  4. Step 4: Simplify right side
    8,184.38x = 52,656,109.73
  5. Step 5: Solve for x
    x = 52,656,109.73/8,184.38
  6. Step 6: Final answer
    x = 6,433.73

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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.