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Finding the Fourth Proportional to 12,311.78, 18,446.70 and 8,354.52

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Solution

The fourth proportional to 12,311.78, 18,446.70 and 8,354.52 is: 12,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.78 : 18,446.70 = 8,354.52 : x
  2. Step 2: Convert to fraction form
    12,311.78/18,446.70 = 8,354.52/x
  3. Step 3: Cross multiply
    12,311.78x = 18,446.70 × 8,354.52
  4. Step 4: Simplify right side
    12,311.78x = 154,113,324.08
  5. Step 5: Solve for x
    x = 154,113,324.08/12,311.78
  6. Step 6: Final answer
    x = 12,517.55

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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.