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Finding the Fourth Proportional to 3,198.65, 4,797.96 and 1,349.25

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Solution

The fourth proportional to 3,198.65, 4,797.96 and 1,349.25 is: 2,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.65 : 4,797.96 = 1,349.25 : x
  2. Step 2: Convert to fraction form
    3,198.65/4,797.96 = 1,349.25/x
  3. Step 3: Cross multiply
    3,198.65x = 4,797.96 × 1,349.25
  4. Step 4: Simplify right side
    3,198.65x = 6,473,647.53
  5. Step 5: Solve for x
    x = 6,473,647.53/3,198.65
  6. Step 6: Final answer
    x = 2,023.87

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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.