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Finding the Fourth Proportional to 2,711.30, 4,066.74 and 863.28

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Solution

The fourth proportional to 2,711.30, 4,066.74 and 863.28 is: 1,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.30 : 4,066.74 = 863.28 : x
  2. Step 2: Convert to fraction form
    2,711.30/4,066.74 = 863.28/x
  3. Step 3: Cross multiply
    2,711.30x = 4,066.74 × 863.28
  4. Step 4: Simplify right side
    2,711.30x = 3,510,735.31
  5. Step 5: Solve for x
    x = 3,510,735.31/2,711.30
  6. Step 6: Final answer
    x = 1,294.86

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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.