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Finding the Fourth Proportional to 2,834.38, 4,251.43 and 859.92

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Solution

The fourth proportional to 2,834.38, 4,251.43 and 859.92 is: 1,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.38 : 4,251.43 = 859.92 : x
  2. Step 2: Convert to fraction form
    2,834.38/4,251.43 = 859.92/x
  3. Step 3: Cross multiply
    2,834.38x = 4,251.43 × 859.92
  4. Step 4: Simplify right side
    2,834.38x = 3,655,872.40
  5. Step 5: Solve for x
    x = 3,655,872.40/2,834.38
  6. Step 6: Final answer
    x = 1,289.83

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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.