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Finding the Fourth Proportional to 2,672.92, 4,009.07 and 725.27

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Solution

The fourth proportional to 2,672.92, 4,009.07 and 725.27 is: 1,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.92 : 4,009.07 = 725.27 : x
  2. Step 2: Convert to fraction form
    2,672.92/4,009.07 = 725.27/x
  3. Step 3: Cross multiply
    2,672.92x = 4,009.07 × 725.27
  4. Step 4: Simplify right side
    2,672.92x = 2,907,658.20
  5. Step 5: Solve for x
    x = 2,907,658.20/2,672.92
  6. Step 6: Final answer
    x = 1,087.82

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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.