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Finding the Fourth Proportional to 22,450, 30,981.96 and 12,514

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Solution

The fourth proportional to 22,450, 30,981.96 and 12,514 is: 17,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,450 : 30,981.96 = 12,514 : x
  2. Step 2: Convert to fraction form
    22,450/30,981.96 = 12,514/x
  3. Step 3: Cross multiply
    22,450x = 30,981.96 × 12,514
  4. Step 4: Simplify right side
    22,450x = 387,708,247.44
  5. Step 5: Solve for x
    x = 387,708,247.44/22,450
  6. Step 6: Final answer
    x = 17,269.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.