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Finding the Fourth Proportional to 2,672.87, 4,009.37 and 725.09

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Solution

The fourth proportional to 2,672.87, 4,009.37 and 725.09 is: 1,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.87 : 4,009.37 = 725.09 : x
  2. Step 2: Convert to fraction form
    2,672.87/4,009.37 = 725.09/x
  3. Step 3: Cross multiply
    2,672.87x = 4,009.37 × 725.09
  4. Step 4: Simplify right side
    2,672.87x = 2,907,130.42
  5. Step 5: Solve for x
    x = 2,907,130.42/2,672.87
  6. Step 6: Final answer
    x = 1,087.65

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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.