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Finding the Fourth Proportional to 3,294.43, 4,942.31 and 1,214.45

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Solution

The fourth proportional to 3,294.43, 4,942.31 and 1,214.45 is: 1,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.43 : 4,942.31 = 1,214.45 : x
  2. Step 2: Convert to fraction form
    3,294.43/4,942.31 = 1,214.45/x
  3. Step 3: Cross multiply
    3,294.43x = 4,942.31 × 1,214.45
  4. Step 4: Simplify right side
    3,294.43x = 6,002,159.87
  5. Step 5: Solve for x
    x = 6,002,159.87/3,294.43
  6. Step 6: Final answer
    x = 1,821.91

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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.