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Finding the Fourth Proportional to 2,449.85, 3,672.62 and 1,152.89

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Solution

The fourth proportional to 2,449.85, 3,672.62 and 1,152.89 is: 1,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.85 : 3,672.62 = 1,152.89 : x
  2. Step 2: Convert to fraction form
    2,449.85/3,672.62 = 1,152.89/x
  3. Step 3: Cross multiply
    2,449.85x = 3,672.62 × 1,152.89
  4. Step 4: Simplify right side
    2,449.85x = 4,234,121.11
  5. Step 5: Solve for x
    x = 4,234,121.11/2,449.85
  6. Step 6: Final answer
    x = 1,728.32

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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.