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Finding the Fourth Proportional to 3,691.37, 5,094 and 2,012.78

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Solution

The fourth proportional to 3,691.37, 5,094 and 2,012.78 is: 2,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.37 : 5,094 = 2,012.78 : x
  2. Step 2: Convert to fraction form
    3,691.37/5,094 = 2,012.78/x
  3. Step 3: Cross multiply
    3,691.37x = 5,094 × 2,012.78
  4. Step 4: Simplify right side
    3,691.37x = 10,253,114.06
  5. Step 5: Solve for x
    x = 10,253,114.06/3,691.37
  6. Step 6: Final answer
    x = 2,777.59

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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.