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Finding the Fourth Proportional to 2,206.57, 3,310.26 and 908.95

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Solution

The fourth proportional to 2,206.57, 3,310.26 and 908.95 is: 1,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.57 : 3,310.26 = 908.95 : x
  2. Step 2: Convert to fraction form
    2,206.57/3,310.26 = 908.95/x
  3. Step 3: Cross multiply
    2,206.57x = 3,310.26 × 908.95
  4. Step 4: Simplify right side
    2,206.57x = 3,008,860.83
  5. Step 5: Solve for x
    x = 3,008,860.83/2,206.57
  6. Step 6: Final answer
    x = 1,363.59

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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.