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Finding the Fourth Proportional to 3,912.96, 5,404.68 and 3,167.76

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Solution

The fourth proportional to 3,912.96, 5,404.68 and 3,167.76 is: 4,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.96 : 5,404.68 = 3,167.76 : x
  2. Step 2: Convert to fraction form
    3,912.96/5,404.68 = 3,167.76/x
  3. Step 3: Cross multiply
    3,912.96x = 5,404.68 × 3,167.76
  4. Step 4: Simplify right side
    3,912.96x = 17,120,729.12
  5. Step 5: Solve for x
    x = 17,120,729.12/3,912.96
  6. Step 6: Final answer
    x = 4,375.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.