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Finding the Fourth Proportional to 3,957.75, 5,462.13 and 2,961.33

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Solution

The fourth proportional to 3,957.75, 5,462.13 and 2,961.33 is: 4,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.75 : 5,462.13 = 2,961.33 : x
  2. Step 2: Convert to fraction form
    3,957.75/5,462.13 = 2,961.33/x
  3. Step 3: Cross multiply
    3,957.75x = 5,462.13 × 2,961.33
  4. Step 4: Simplify right side
    3,957.75x = 16,175,169.43
  5. Step 5: Solve for x
    x = 16,175,169.43/3,957.75
  6. Step 6: Final answer
    x = 4,086.96

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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.