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Finding the Fourth Proportional to 16,451, 22,702.38 and 8,999

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Solution

The fourth proportional to 16,451, 22,702.38 and 8,999 is: 12,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451 : 22,702.38 = 8,999 : x
  2. Step 2: Convert to fraction form
    16,451/22,702.38 = 8,999/x
  3. Step 3: Cross multiply
    16,451x = 22,702.38 × 8,999
  4. Step 4: Simplify right side
    16,451x = 204,298,717.62
  5. Step 5: Solve for x
    x = 204,298,717.62/16,451
  6. Step 6: Final answer
    x = 12,418.62

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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.