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Finding the Fourth Proportional to 2,092.29, 3,138.57 and 793.75

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Solution

The fourth proportional to 2,092.29, 3,138.57 and 793.75 is: 1,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.29 : 3,138.57 = 793.75 : x
  2. Step 2: Convert to fraction form
    2,092.29/3,138.57 = 793.75/x
  3. Step 3: Cross multiply
    2,092.29x = 3,138.57 × 793.75
  4. Step 4: Simplify right side
    2,092.29x = 2,491,239.94
  5. Step 5: Solve for x
    x = 2,491,239.94/2,092.29
  6. Step 6: Final answer
    x = 1,190.68

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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.