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Finding the Fourth Proportional to 3,895.31, 5,375.99 and 2,217.12

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Solution

The fourth proportional to 3,895.31, 5,375.99 and 2,217.12 is: 3,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.31 : 5,375.99 = 2,217.12 : x
  2. Step 2: Convert to fraction form
    3,895.31/5,375.99 = 2,217.12/x
  3. Step 3: Cross multiply
    3,895.31x = 5,375.99 × 2,217.12
  4. Step 4: Simplify right side
    3,895.31x = 11,919,220.49
  5. Step 5: Solve for x
    x = 11,919,220.49/3,895.31
  6. Step 6: Final answer
    x = 3,059.89

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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.