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Finding the Fourth Proportional to 16,491, 22,757.58 and 9,039

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Solution

The fourth proportional to 16,491, 22,757.58 and 9,039 is: 12,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491 : 22,757.58 = 9,039 : x
  2. Step 2: Convert to fraction form
    16,491/22,757.58 = 9,039/x
  3. Step 3: Cross multiply
    16,491x = 22,757.58 × 9,039
  4. Step 4: Simplify right side
    16,491x = 205,705,765.62
  5. Step 5: Solve for x
    x = 205,705,765.62/16,491
  6. Step 6: Final answer
    x = 12,473.82

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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.