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Finding the Fourth Proportional to 3,294.39, 4,942.19 and 1,563

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Solution

The fourth proportional to 3,294.39, 4,942.19 and 1,563 is: 2,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.39 : 4,942.19 = 1,563 : x
  2. Step 2: Convert to fraction form
    3,294.39/4,942.19 = 1,563/x
  3. Step 3: Cross multiply
    3,294.39x = 4,942.19 × 1,563
  4. Step 4: Simplify right side
    3,294.39x = 7,724,635.16
  5. Step 5: Solve for x
    x = 7,724,635.16/3,294.39
  6. Step 6: Final answer
    x = 2,344.78

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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.