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Finding the Fourth Proportional to 3,578.68, 5,369.82 and 2,422

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Solution

The fourth proportional to 3,578.68, 5,369.82 and 2,422 is: 3,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.68 : 5,369.82 = 2,422 : x
  2. Step 2: Convert to fraction form
    3,578.68/5,369.82 = 2,422/x
  3. Step 3: Cross multiply
    3,578.68x = 5,369.82 × 2,422
  4. Step 4: Simplify right side
    3,578.68x = 13,005,704.04
  5. Step 5: Solve for x
    x = 13,005,704.04/3,578.68
  6. Step 6: Final answer
    x = 3,634.22

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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.