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Finding the Fourth Proportional to 13,796.80, 20,699.52 and 8,872

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Solution

The fourth proportional to 13,796.80, 20,699.52 and 8,872 is: 13,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.80 : 20,699.52 = 8,872 : x
  2. Step 2: Convert to fraction form
    13,796.80/20,699.52 = 8,872/x
  3. Step 3: Cross multiply
    13,796.80x = 20,699.52 × 8,872
  4. Step 4: Simplify right side
    13,796.80x = 183,646,141.44
  5. Step 5: Solve for x
    x = 183,646,141.44/13,796.80
  6. Step 6: Final answer
    x = 13,310.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.