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Finding the Fourth Proportional to 2,713.92, 4,071 and 865.17

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Solution

The fourth proportional to 2,713.92, 4,071 and 865.17 is: 1,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.92 : 4,071 = 865.17 : x
  2. Step 2: Convert to fraction form
    2,713.92/4,071 = 865.17/x
  3. Step 3: Cross multiply
    2,713.92x = 4,071 × 865.17
  4. Step 4: Simplify right side
    2,713.92x = 3,522,107.07
  5. Step 5: Solve for x
    x = 3,522,107.07/2,713.92
  6. Step 6: Final answer
    x = 1,297.79

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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.