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Finding the Fourth Proportional to 3,965.77, 5,472.23 and 2,197.15

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Solution

The fourth proportional to 3,965.77, 5,472.23 and 2,197.15 is: 3,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.77 : 5,472.23 = 2,197.15 : x
  2. Step 2: Convert to fraction form
    3,965.77/5,472.23 = 2,197.15/x
  3. Step 3: Cross multiply
    3,965.77x = 5,472.23 × 2,197.15
  4. Step 4: Simplify right side
    3,965.77x = 12,023,310.14
  5. Step 5: Solve for x
    x = 12,023,310.14/3,965.77
  6. Step 6: Final answer
    x = 3,031.77

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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.