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Finding the Fourth Proportional to 7,978.97, 11,963.32 and 3,818.88

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Solution

The fourth proportional to 7,978.97, 11,963.32 and 3,818.88 is: 5,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.97 : 11,963.32 = 3,818.88 : x
  2. Step 2: Convert to fraction form
    7,978.97/11,963.32 = 3,818.88/x
  3. Step 3: Cross multiply
    7,978.97x = 11,963.32 × 3,818.88
  4. Step 4: Simplify right side
    7,978.97x = 45,686,473.93
  5. Step 5: Solve for x
    x = 45,686,473.93/7,978.97
  6. Step 6: Final answer
    x = 5,725.86

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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.