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Finding the Fourth Proportional to 2,757.90, 4,136.93 and 908.97

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Solution

The fourth proportional to 2,757.90, 4,136.93 and 908.97 is: 1,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.90 : 4,136.93 = 908.97 : x
  2. Step 2: Convert to fraction form
    2,757.90/4,136.93 = 908.97/x
  3. Step 3: Cross multiply
    2,757.90x = 4,136.93 × 908.97
  4. Step 4: Simplify right side
    2,757.90x = 3,760,340.72
  5. Step 5: Solve for x
    x = 3,760,340.72/2,757.90
  6. Step 6: Final answer
    x = 1,363.48

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1.5x scale

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.