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Finding the Fourth Proportional to 2,469.78, 3,705.24 and 738.36

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Solution

The fourth proportional to 2,469.78, 3,705.24 and 738.36 is: 1,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.78 : 3,705.24 = 738.36 : x
  2. Step 2: Convert to fraction form
    2,469.78/3,705.24 = 738.36/x
  3. Step 3: Cross multiply
    2,469.78x = 3,705.24 × 738.36
  4. Step 4: Simplify right side
    2,469.78x = 2,735,801.01
  5. Step 5: Solve for x
    x = 2,735,801.01/2,469.78
  6. Step 6: Final answer
    x = 1,107.71

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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.