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Finding the Fourth Proportional to 3,834.62, 5,751.78 and 1,098.62

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Solution

The fourth proportional to 3,834.62, 5,751.78 and 1,098.62 is: 1,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.62 : 5,751.78 = 1,098.62 : x
  2. Step 2: Convert to fraction form
    3,834.62/5,751.78 = 1,098.62/x
  3. Step 3: Cross multiply
    3,834.62x = 5,751.78 × 1,098.62
  4. Step 4: Simplify right side
    3,834.62x = 6,319,020.54
  5. Step 5: Solve for x
    x = 6,319,020.54/3,834.62
  6. Step 6: Final answer
    x = 1,647.89

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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.