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Finding the Fourth Proportional to 7,984.22, 11,984.31 and 3,306.96

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Solution

The fourth proportional to 7,984.22, 11,984.31 and 3,306.96 is: 4,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.22 : 11,984.31 = 3,306.96 : x
  2. Step 2: Convert to fraction form
    7,984.22/11,984.31 = 3,306.96/x
  3. Step 3: Cross multiply
    7,984.22x = 11,984.31 × 3,306.96
  4. Step 4: Simplify right side
    7,984.22x = 39,631,633.80
  5. Step 5: Solve for x
    x = 39,631,633.80/7,984.22
  6. Step 6: Final answer
    x = 4,963.75

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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.