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Finding the Fourth Proportional to 2,834.75, 4,251.76 and 1,079.28

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Solution

The fourth proportional to 2,834.75, 4,251.76 and 1,079.28 is: 1,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.75 : 4,251.76 = 1,079.28 : x
  2. Step 2: Convert to fraction form
    2,834.75/4,251.76 = 1,079.28/x
  3. Step 3: Cross multiply
    2,834.75x = 4,251.76 × 1,079.28
  4. Step 4: Simplify right side
    2,834.75x = 4,588,836.83
  5. Step 5: Solve for x
    x = 4,588,836.83/2,834.75
  6. Step 6: Final answer
    x = 1,618.78

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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.