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Finding the Fourth Proportional to 3,965.88, 5,472.78 and 2,197.32

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Solution

The fourth proportional to 3,965.88, 5,472.78 and 2,197.32 is: 3,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.88 : 5,472.78 = 2,197.32 : x
  2. Step 2: Convert to fraction form
    3,965.88/5,472.78 = 2,197.32/x
  3. Step 3: Cross multiply
    3,965.88x = 5,472.78 × 2,197.32
  4. Step 4: Simplify right side
    3,965.88x = 12,025,448.95
  5. Step 5: Solve for x
    x = 12,025,448.95/3,965.88
  6. Step 6: Final answer
    x = 3,032.23

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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.