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Finding the Fourth Proportional to 27,978.56, 41,963.68 and 10,205.04

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Solution

The fourth proportional to 27,978.56, 41,963.68 and 10,205.04 is: 15,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.56 : 41,963.68 = 10,205.04 : x
  2. Step 2: Convert to fraction form
    27,978.56/41,963.68 = 10,205.04/x
  3. Step 3: Cross multiply
    27,978.56x = 41,963.68 × 10,205.04
  4. Step 4: Simplify right side
    27,978.56x = 428,241,032.95
  5. Step 5: Solve for x
    x = 428,241,032.95/27,978.56
  6. Step 6: Final answer
    x = 15,306.04

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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.