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Finding the Fourth Proportional to 7,982.01, 11,968.88 and 2,786.67

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Solution

The fourth proportional to 7,982.01, 11,968.88 and 2,786.67 is: 4,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.01 : 11,968.88 = 2,786.67 : x
  2. Step 2: Convert to fraction form
    7,982.01/11,968.88 = 2,786.67/x
  3. Step 3: Cross multiply
    7,982.01x = 11,968.88 × 2,786.67
  4. Step 4: Simplify right side
    7,982.01x = 33,353,304.90
  5. Step 5: Solve for x
    x = 33,353,304.90/7,982.01
  6. Step 6: Final answer
    x = 4,178.56

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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.