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Finding the Fourth Proportional to 2,978.43, 4,469.22 and 2,163.44

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Solution

The fourth proportional to 2,978.43, 4,469.22 and 2,163.44 is: 3,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.43 : 4,469.22 = 2,163.44 : x
  2. Step 2: Convert to fraction form
    2,978.43/4,469.22 = 2,163.44/x
  3. Step 3: Cross multiply
    2,978.43x = 4,469.22 × 2,163.44
  4. Step 4: Simplify right side
    2,978.43x = 9,668,866.97
  5. Step 5: Solve for x
    x = 9,668,866.97/2,978.43
  6. Step 6: Final answer
    x = 3,246.30

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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.