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Finding the Fourth Proportional to 3,964.97, 5,472.43 and 2,287.46

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Solution

The fourth proportional to 3,964.97, 5,472.43 and 2,287.46 is: 3,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.97 : 5,472.43 = 2,287.46 : x
  2. Step 2: Convert to fraction form
    3,964.97/5,472.43 = 2,287.46/x
  3. Step 3: Cross multiply
    3,964.97x = 5,472.43 × 2,287.46
  4. Step 4: Simplify right side
    3,964.97x = 12,517,972.69
  5. Step 5: Solve for x
    x = 12,517,972.69/3,964.97
  6. Step 6: Final answer
    x = 3,157.14

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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.