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Finding the Fourth Proportional to 3,691.87, 5,094.69 and 2,013.28

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Solution

The fourth proportional to 3,691.87, 5,094.69 and 2,013.28 is: 2,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.87 : 5,094.69 = 2,013.28 : x
  2. Step 2: Convert to fraction form
    3,691.87/5,094.69 = 2,013.28/x
  3. Step 3: Cross multiply
    3,691.87x = 5,094.69 × 2,013.28
  4. Step 4: Simplify right side
    3,691.87x = 10,257,050.22
  5. Step 5: Solve for x
    x = 10,257,050.22/3,691.87
  6. Step 6: Final answer
    x = 2,778.28

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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.