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Finding the Fourth Proportional to 2,254.78, 3,381.87 and 793.75

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Solution

The fourth proportional to 2,254.78, 3,381.87 and 793.75 is: 1,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.78 : 3,381.87 = 793.75 : x
  2. Step 2: Convert to fraction form
    2,254.78/3,381.87 = 793.75/x
  3. Step 3: Cross multiply
    2,254.78x = 3,381.87 × 793.75
  4. Step 4: Simplify right side
    2,254.78x = 2,684,359.31
  5. Step 5: Solve for x
    x = 2,684,359.31/2,254.78
  6. Step 6: Final answer
    x = 1,190.52

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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.