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Finding the Fourth Proportional to 2,978.65, 4,469.99 and 1,223.97

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Solution

The fourth proportional to 2,978.65, 4,469.99 and 1,223.97 is: 1,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.65 : 4,469.99 = 1,223.97 : x
  2. Step 2: Convert to fraction form
    2,978.65/4,469.99 = 1,223.97/x
  3. Step 3: Cross multiply
    2,978.65x = 4,469.99 × 1,223.97
  4. Step 4: Simplify right side
    2,978.65x = 5,471,133.66
  5. Step 5: Solve for x
    x = 5,471,133.66/2,978.65
  6. Step 6: Final answer
    x = 1,836.78

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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.