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Finding the Fourth Proportional to 3,940.59, 5,910.87 and 1,600.56

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Solution

The fourth proportional to 3,940.59, 5,910.87 and 1,600.56 is: 2,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.59 : 5,910.87 = 1,600.56 : x
  2. Step 2: Convert to fraction form
    3,940.59/5,910.87 = 1,600.56/x
  3. Step 3: Cross multiply
    3,940.59x = 5,910.87 × 1,600.56
  4. Step 4: Simplify right side
    3,940.59x = 9,460,702.09
  5. Step 5: Solve for x
    x = 9,460,702.09/3,940.59
  6. Step 6: Final answer
    x = 2,400.83

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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.