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Finding the Fourth Proportional to 2,608.62, 3,912.06 and 759.21

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Solution

The fourth proportional to 2,608.62, 3,912.06 and 759.21 is: 1,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.62 : 3,912.06 = 759.21 : x
  2. Step 2: Convert to fraction form
    2,608.62/3,912.06 = 759.21/x
  3. Step 3: Cross multiply
    2,608.62x = 3,912.06 × 759.21
  4. Step 4: Simplify right side
    2,608.62x = 2,970,075.07
  5. Step 5: Solve for x
    x = 2,970,075.07/2,608.62
  6. Step 6: Final answer
    x = 1,138.56

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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.