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Finding the Fourth Proportional to 13,651.88, 20,478.20 and 3,791.88

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Solution

The fourth proportional to 13,651.88, 20,478.20 and 3,791.88 is: 5,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.88 : 20,478.20 = 3,791.88 : x
  2. Step 2: Convert to fraction form
    13,651.88/20,478.20 = 3,791.88/x
  3. Step 3: Cross multiply
    13,651.88x = 20,478.20 × 3,791.88
  4. Step 4: Simplify right side
    13,651.88x = 77,650,877.02
  5. Step 5: Solve for x
    x = 77,650,877.02/13,651.88
  6. Step 6: Final answer
    x = 5,687.93

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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.