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Finding the Fourth Proportional to 13,381.88, 20,072.81 and 4,147.88

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Solution

The fourth proportional to 13,381.88, 20,072.81 and 4,147.88 is: 6,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.88 : 20,072.81 = 4,147.88 : x
  2. Step 2: Convert to fraction form
    13,381.88/20,072.81 = 4,147.88/x
  3. Step 3: Cross multiply
    13,381.88x = 20,072.81 × 4,147.88
  4. Step 4: Simplify right side
    13,381.88x = 83,259,517.15
  5. Step 5: Solve for x
    x = 83,259,517.15/13,381.88
  6. Step 6: Final answer
    x = 6,221.81

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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.