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Finding the Fourth Proportional to 12,286.25, 16,949.77 and 8,029.92

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Solution

The fourth proportional to 12,286.25, 16,949.77 and 8,029.92 is: 11,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.25 : 16,949.77 = 8,029.92 : x
  2. Step 2: Convert to fraction form
    12,286.25/16,949.77 = 8,029.92/x
  3. Step 3: Cross multiply
    12,286.25x = 16,949.77 × 8,029.92
  4. Step 4: Simplify right side
    12,286.25x = 136,105,340.61
  5. Step 5: Solve for x
    x = 136,105,340.61/12,286.25
  6. Step 6: Final answer
    x = 11,077.86

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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.