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Finding the Fourth Proportional to 3,100.26, 4,650.38 and 908.92

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Solution

The fourth proportional to 3,100.26, 4,650.38 and 908.92 is: 1,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.26 : 4,650.38 = 908.92 : x
  2. Step 2: Convert to fraction form
    3,100.26/4,650.38 = 908.92/x
  3. Step 3: Cross multiply
    3,100.26x = 4,650.38 × 908.92
  4. Step 4: Simplify right side
    3,100.26x = 4,226,823.39
  5. Step 5: Solve for x
    x = 4,226,823.39/3,100.26
  6. Step 6: Final answer
    x = 1,363.38

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Similar ratio
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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.