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Finding the Fourth Proportional to 13,687.31, 20,530.97 and 7,839.83

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Solution

The fourth proportional to 13,687.31, 20,530.97 and 7,839.83 is: 11,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.31 : 20,530.97 = 7,839.83 : x
  2. Step 2: Convert to fraction form
    13,687.31/20,530.97 = 7,839.83/x
  3. Step 3: Cross multiply
    13,687.31x = 20,530.97 × 7,839.83
  4. Step 4: Simplify right side
    13,687.31x = 160,959,314.54
  5. Step 5: Solve for x
    x = 160,959,314.54/13,687.31
  6. Step 6: Final answer
    x = 11,759.75

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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.