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Finding the Fourth Proportional to 2,469.40, 3,703.83 and 825.76

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Solution

The fourth proportional to 2,469.40, 3,703.83 and 825.76 is: 1,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.40 : 3,703.83 = 825.76 : x
  2. Step 2: Convert to fraction form
    2,469.40/3,703.83 = 825.76/x
  3. Step 3: Cross multiply
    2,469.40x = 3,703.83 × 825.76
  4. Step 4: Simplify right side
    2,469.40x = 3,058,474.66
  5. Step 5: Solve for x
    x = 3,058,474.66/2,469.40
  6. Step 6: Final answer
    x = 1,238.55

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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.