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Finding the Fourth Proportional to 13,791.41, 20,687.79 and 3,932.14

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Solution

The fourth proportional to 13,791.41, 20,687.79 and 3,932.14 is: 5,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.41 : 20,687.79 = 3,932.14 : x
  2. Step 2: Convert to fraction form
    13,791.41/20,687.79 = 3,932.14/x
  3. Step 3: Cross multiply
    13,791.41x = 20,687.79 × 3,932.14
  4. Step 4: Simplify right side
    13,791.41x = 81,347,234.85
  5. Step 5: Solve for x
    x = 81,347,234.85/13,791.41
  6. Step 6: Final answer
    x = 5,898.40

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1.5x scale

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.