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Finding the Fourth Proportional to 2,834.87, 4,251.88 and 755

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Solution

The fourth proportional to 2,834.87, 4,251.88 and 755 is: 1,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.87 : 4,251.88 = 755 : x
  2. Step 2: Convert to fraction form
    2,834.87/4,251.88 = 755/x
  3. Step 3: Cross multiply
    2,834.87x = 4,251.88 × 755
  4. Step 4: Simplify right side
    2,834.87x = 3,210,169.40
  5. Step 5: Solve for x
    x = 3,210,169.40/2,834.87
  6. Step 6: Final answer
    x = 1,132.39

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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.