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Finding the Fourth Proportional to 2,649.75, 3,974.73 and 800.94

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Solution

The fourth proportional to 2,649.75, 3,974.73 and 800.94 is: 1,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.75 : 3,974.73 = 800.94 : x
  2. Step 2: Convert to fraction form
    2,649.75/3,974.73 = 800.94/x
  3. Step 3: Cross multiply
    2,649.75x = 3,974.73 × 800.94
  4. Step 4: Simplify right side
    2,649.75x = 3,183,520.25
  5. Step 5: Solve for x
    x = 3,183,520.25/2,649.75
  6. Step 6: Final answer
    x = 1,201.44

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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.