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Finding the Fourth Proportional to 7,984, 11,980.86 and 3,367

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Solution

The fourth proportional to 7,984, 11,980.86 and 3,367 is: 5,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 11,980.86 = 3,367 : x
  2. Step 2: Convert to fraction form
    7,984/11,980.86 = 3,367/x
  3. Step 3: Cross multiply
    7,984x = 11,980.86 × 3,367
  4. Step 4: Simplify right side
    7,984x = 40,339,555.62
  5. Step 5: Solve for x
    x = 40,339,555.62/7,984
  6. Step 6: Final answer
    x = 5,052.55

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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.