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Finding the Fourth Proportional to 3,321.84, 4,983.16 and 1,375.42

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Solution

The fourth proportional to 3,321.84, 4,983.16 and 1,375.42 is: 2,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.84 : 4,983.16 = 1,375.42 : x
  2. Step 2: Convert to fraction form
    3,321.84/4,983.16 = 1,375.42/x
  3. Step 3: Cross multiply
    3,321.84x = 4,983.16 × 1,375.42
  4. Step 4: Simplify right side
    3,321.84x = 6,853,937.93
  5. Step 5: Solve for x
    x = 6,853,937.93/3,321.84
  6. Step 6: Final answer
    x = 2,063.30

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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.