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Finding the Fourth Proportional to 5,144.78, 7,717.11 and 1,249.22

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Solution

The fourth proportional to 5,144.78, 7,717.11 and 1,249.22 is: 1,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.78 : 7,717.11 = 1,249.22 : x
  2. Step 2: Convert to fraction form
    5,144.78/7,717.11 = 1,249.22/x
  3. Step 3: Cross multiply
    5,144.78x = 7,717.11 × 1,249.22
  4. Step 4: Simplify right side
    5,144.78x = 9,640,382.76
  5. Step 5: Solve for x
    x = 9,640,382.76/5,144.78
  6. Step 6: Final answer
    x = 1,873.82

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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.