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Finding the Fourth Proportional to 3,294.78, 4,941.62 and 1,103.22

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Solution

The fourth proportional to 3,294.78, 4,941.62 and 1,103.22 is: 1,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.78 : 4,941.62 = 1,103.22 : x
  2. Step 2: Convert to fraction form
    3,294.78/4,941.62 = 1,103.22/x
  3. Step 3: Cross multiply
    3,294.78x = 4,941.62 × 1,103.22
  4. Step 4: Simplify right side
    3,294.78x = 5,451,694.02
  5. Step 5: Solve for x
    x = 5,451,694.02/3,294.78
  6. Step 6: Final answer
    x = 1,654.65

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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.