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Finding the Fourth Proportional to 3,198.72, 4,794 and 1,441.84

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Solution

The fourth proportional to 3,198.72, 4,794 and 1,441.84 is: 2,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.72 : 4,794 = 1,441.84 : x
  2. Step 2: Convert to fraction form
    3,198.72/4,794 = 1,441.84/x
  3. Step 3: Cross multiply
    3,198.72x = 4,794 × 1,441.84
  4. Step 4: Simplify right side
    3,198.72x = 6,912,180.96
  5. Step 5: Solve for x
    x = 6,912,180.96/3,198.72
  6. Step 6: Final answer
    x = 2,160.92

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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.