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Finding the Fourth Proportional to 3,794, 5,235.22 and 2,115.21

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Solution

The fourth proportional to 3,794, 5,235.22 and 2,115.21 is: 2,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794 : 5,235.22 = 2,115.21 : x
  2. Step 2: Convert to fraction form
    3,794/5,235.22 = 2,115.21/x
  3. Step 3: Cross multiply
    3,794x = 5,235.22 × 2,115.21
  4. Step 4: Simplify right side
    3,794x = 11,073,589.70
  5. Step 5: Solve for x
    x = 11,073,589.70/3,794
  6. Step 6: Final answer
    x = 2,918.71

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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.