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Finding the Fourth Proportional to 3,940.57, 5,907.07 and 1,600.03

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Solution

The fourth proportional to 3,940.57, 5,907.07 and 1,600.03 is: 2,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.57 : 5,907.07 = 1,600.03 : x
  2. Step 2: Convert to fraction form
    3,940.57/5,907.07 = 1,600.03/x
  3. Step 3: Cross multiply
    3,940.57x = 5,907.07 × 1,600.03
  4. Step 4: Simplify right side
    3,940.57x = 9,451,489.21
  5. Step 5: Solve for x
    x = 9,451,489.21/3,940.57
  6. Step 6: Final answer
    x = 2,398.51

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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.