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Finding the Fourth Proportional to 2,450.47, 3,672.46 and 1,150.15

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Solution

The fourth proportional to 2,450.47, 3,672.46 and 1,150.15 is: 1,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.47 : 3,672.46 = 1,150.15 : x
  2. Step 2: Convert to fraction form
    2,450.47/3,672.46 = 1,150.15/x
  3. Step 3: Cross multiply
    2,450.47x = 3,672.46 × 1,150.15
  4. Step 4: Simplify right side
    2,450.47x = 4,223,879.87
  5. Step 5: Solve for x
    x = 4,223,879.87/2,450.47
  6. Step 6: Final answer
    x = 1,723.70

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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.