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Finding the Fourth Proportional to 3,965.68, 5,472.84 and 2,197.48

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Solution

The fourth proportional to 3,965.68, 5,472.84 and 2,197.48 is: 3,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.68 : 5,472.84 = 2,197.48 : x
  2. Step 2: Convert to fraction form
    3,965.68/5,472.84 = 2,197.48/x
  3. Step 3: Cross multiply
    3,965.68x = 5,472.84 × 2,197.48
  4. Step 4: Simplify right side
    3,965.68x = 12,026,456.44
  5. Step 5: Solve for x
    x = 12,026,456.44/3,965.68
  6. Step 6: Final answer
    x = 3,032.63

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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.