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Finding the Fourth Proportional to 3,982.08, 5,968.08 and 2,251.68

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Solution

The fourth proportional to 3,982.08, 5,968.08 and 2,251.68 is: 3,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.08 : 5,968.08 = 2,251.68 : x
  2. Step 2: Convert to fraction form
    3,982.08/5,968.08 = 2,251.68/x
  3. Step 3: Cross multiply
    3,982.08x = 5,968.08 × 2,251.68
  4. Step 4: Simplify right side
    3,982.08x = 13,438,206.37
  5. Step 5: Solve for x
    x = 13,438,206.37/3,982.08
  6. Step 6: Final answer
    x = 3,374.67

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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.