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Finding the Fourth Proportional to 12,469.80, 18,690.48 and 7,791.96

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Solution

The fourth proportional to 12,469.80, 18,690.48 and 7,791.96 is: 11,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.80 : 18,690.48 = 7,791.96 : x
  2. Step 2: Convert to fraction form
    12,469.80/18,690.48 = 7,791.96/x
  3. Step 3: Cross multiply
    12,469.80x = 18,690.48 × 7,791.96
  4. Step 4: Simplify right side
    12,469.80x = 145,635,472.54
  5. Step 5: Solve for x
    x = 145,635,472.54/12,469.80
  6. Step 6: Final answer
    x = 11,679.05

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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.