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Finding the Fourth Proportional to 3,112.80, 4,662.90 and 1,939.20

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Solution

The fourth proportional to 3,112.80, 4,662.90 and 1,939.20 is: 2,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.80 : 4,662.90 = 1,939.20 : x
  2. Step 2: Convert to fraction form
    3,112.80/4,662.90 = 1,939.20/x
  3. Step 3: Cross multiply
    3,112.80x = 4,662.90 × 1,939.20
  4. Step 4: Simplify right side
    3,112.80x = 9,042,295.68
  5. Step 5: Solve for x
    x = 9,042,295.68/3,112.80
  6. Step 6: Final answer
    x = 2,904.88

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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.