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Finding the Fourth Proportional to 2,757.63, 4,136.49 and 908.85

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Solution

The fourth proportional to 2,757.63, 4,136.49 and 908.85 is: 1,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.63 : 4,136.49 = 908.85 : x
  2. Step 2: Convert to fraction form
    2,757.63/4,136.49 = 908.85/x
  3. Step 3: Cross multiply
    2,757.63x = 4,136.49 × 908.85
  4. Step 4: Simplify right side
    2,757.63x = 3,759,448.94
  5. Step 5: Solve for x
    x = 3,759,448.94/2,757.63
  6. Step 6: Final answer
    x = 1,363.29

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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.