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Finding the Fourth Proportional to 3,965.40, 5,472.11 and 2,286.88

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Solution

The fourth proportional to 3,965.40, 5,472.11 and 2,286.88 is: 3,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.40 : 5,472.11 = 2,286.88 : x
  2. Step 2: Convert to fraction form
    3,965.40/5,472.11 = 2,286.88/x
  3. Step 3: Cross multiply
    3,965.40x = 5,472.11 × 2,286.88
  4. Step 4: Simplify right side
    3,965.40x = 12,514,038.09
  5. Step 5: Solve for x
    x = 12,514,038.09/3,965.40
  6. Step 6: Final answer
    x = 3,155.81

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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.