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Finding the Fourth Proportional to 3,831, 5,745.38 and 1,749.90

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Solution

The fourth proportional to 3,831, 5,745.38 and 1,749.90 is: 2,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831 : 5,745.38 = 1,749.90 : x
  2. Step 2: Convert to fraction form
    3,831/5,745.38 = 1,749.90/x
  3. Step 3: Cross multiply
    3,831x = 5,745.38 × 1,749.90
  4. Step 4: Simplify right side
    3,831x = 10,053,840.46
  5. Step 5: Solve for x
    x = 10,053,840.46/3,831
  6. Step 6: Final answer
    x = 2,624.34

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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.