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Finding the Fourth Proportional to 16,442, 22,689.96 and 8,990

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Solution

The fourth proportional to 16,442, 22,689.96 and 8,990 is: 12,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442 : 22,689.96 = 8,990 : x
  2. Step 2: Convert to fraction form
    16,442/22,689.96 = 8,990/x
  3. Step 3: Cross multiply
    16,442x = 22,689.96 × 8,990
  4. Step 4: Simplify right side
    16,442x = 203,982,740.40
  5. Step 5: Solve for x
    x = 203,982,740.40/16,442
  6. Step 6: Final answer
    x = 12,406.20

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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.