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Finding the Fourth Proportional to 3,949.64, 5,926.28 and 1,759.80

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Solution

The fourth proportional to 3,949.64, 5,926.28 and 1,759.80 is: 2,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.64 : 5,926.28 = 1,759.80 : x
  2. Step 2: Convert to fraction form
    3,949.64/5,926.28 = 1,759.80/x
  3. Step 3: Cross multiply
    3,949.64x = 5,926.28 × 1,759.80
  4. Step 4: Simplify right side
    3,949.64x = 10,429,067.54
  5. Step 5: Solve for x
    x = 10,429,067.54/3,949.64
  6. Step 6: Final answer
    x = 2,640.51

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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.