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Finding the Fourth Proportional to 2,474.85, 3,712.18 and 743.43

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Solution

The fourth proportional to 2,474.85, 3,712.18 and 743.43 is: 1,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.85 : 3,712.18 = 743.43 : x
  2. Step 2: Convert to fraction form
    2,474.85/3,712.18 = 743.43/x
  3. Step 3: Cross multiply
    2,474.85x = 3,712.18 × 743.43
  4. Step 4: Simplify right side
    2,474.85x = 2,759,745.98
  5. Step 5: Solve for x
    x = 2,759,745.98/2,474.85
  6. Step 6: Final answer
    x = 1,115.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.