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Finding the Fourth Proportional to 18,234.64, 27,328.20 and 8,231.95

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Solution

The fourth proportional to 18,234.64, 27,328.20 and 8,231.95 is: 12,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.64 : 27,328.20 = 8,231.95 : x
  2. Step 2: Convert to fraction form
    18,234.64/27,328.20 = 8,231.95/x
  3. Step 3: Cross multiply
    18,234.64x = 27,328.20 × 8,231.95
  4. Step 4: Simplify right side
    18,234.64x = 224,964,375.99
  5. Step 5: Solve for x
    x = 224,964,375.99/18,234.64
  6. Step 6: Final answer
    x = 12,337.20

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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.