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Finding the Fourth Proportional to 2,469.48, 3,704.24 and 825.81

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Solution

The fourth proportional to 2,469.48, 3,704.24 and 825.81 is: 1,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.48 : 3,704.24 = 825.81 : x
  2. Step 2: Convert to fraction form
    2,469.48/3,704.24 = 825.81/x
  3. Step 3: Cross multiply
    2,469.48x = 3,704.24 × 825.81
  4. Step 4: Simplify right side
    2,469.48x = 3,058,998.43
  5. Step 5: Solve for x
    x = 3,058,998.43/2,469.48
  6. Step 6: Final answer
    x = 1,238.72

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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.