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Finding the Fourth Proportional to 3,793.70, 5,235.41 and 2,115.02

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Solution

The fourth proportional to 3,793.70, 5,235.41 and 2,115.02 is: 2,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.70 : 5,235.41 = 2,115.02 : x
  2. Step 2: Convert to fraction form
    3,793.70/5,235.41 = 2,115.02/x
  3. Step 3: Cross multiply
    3,793.70x = 5,235.41 × 2,115.02
  4. Step 4: Simplify right side
    3,793.70x = 11,072,996.86
  5. Step 5: Solve for x
    x = 11,072,996.86/3,793.70
  6. Step 6: Final answer
    x = 2,918.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.