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Finding the Fourth Proportional to 3,965.89, 5,472.41 and 2,197.27

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Solution

The fourth proportional to 3,965.89, 5,472.41 and 2,197.27 is: 3,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.89 : 5,472.41 = 2,197.27 : x
  2. Step 2: Convert to fraction form
    3,965.89/5,472.41 = 2,197.27/x
  3. Step 3: Cross multiply
    3,965.89x = 5,472.41 × 2,197.27
  4. Step 4: Simplify right side
    3,965.89x = 12,024,351.33
  5. Step 5: Solve for x
    x = 12,024,351.33/3,965.89
  6. Step 6: Final answer
    x = 3,031.94

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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.