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Finding the Fourth Proportional to 3,171.78, 4,757.13 and 863.28

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Solution

The fourth proportional to 3,171.78, 4,757.13 and 863.28 is: 1,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.78 : 4,757.13 = 863.28 : x
  2. Step 2: Convert to fraction form
    3,171.78/4,757.13 = 863.28/x
  3. Step 3: Cross multiply
    3,171.78x = 4,757.13 × 863.28
  4. Step 4: Simplify right side
    3,171.78x = 4,106,735.19
  5. Step 5: Solve for x
    x = 4,106,735.19/3,171.78
  6. Step 6: Final answer
    x = 1,294.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.