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Finding the Fourth Proportional to 2,208.64, 3,310.44 and 908.52

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Solution

The fourth proportional to 2,208.64, 3,310.44 and 908.52 is: 1,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.64 : 3,310.44 = 908.52 : x
  2. Step 2: Convert to fraction form
    2,208.64/3,310.44 = 908.52/x
  3. Step 3: Cross multiply
    2,208.64x = 3,310.44 × 908.52
  4. Step 4: Simplify right side
    2,208.64x = 3,007,600.95
  5. Step 5: Solve for x
    x = 3,007,600.95/2,208.64
  6. Step 6: Final answer
    x = 1,361.74

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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.