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Finding the Fourth Proportional to 16,392, 22,620.96 and 8,940

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Solution

The fourth proportional to 16,392, 22,620.96 and 8,940 is: 12,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392 : 22,620.96 = 8,940 : x
  2. Step 2: Convert to fraction form
    16,392/22,620.96 = 8,940/x
  3. Step 3: Cross multiply
    16,392x = 22,620.96 × 8,940
  4. Step 4: Simplify right side
    16,392x = 202,231,382.40
  5. Step 5: Solve for x
    x = 202,231,382.40/16,392
  6. Step 6: Final answer
    x = 12,337.20

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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.