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Finding the Fourth Proportional to 16,464.62, 22,721 and 8,910.80

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Solution

The fourth proportional to 16,464.62, 22,721 and 8,910.80 is: 12,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.62 : 22,721 = 8,910.80 : x
  2. Step 2: Convert to fraction form
    16,464.62/22,721 = 8,910.80/x
  3. Step 3: Cross multiply
    16,464.62x = 22,721 × 8,910.80
  4. Step 4: Simplify right side
    16,464.62x = 202,462,286.80
  5. Step 5: Solve for x
    x = 202,462,286.80/16,464.62
  6. Step 6: Final answer
    x = 12,296.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.