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Finding the Fourth Proportional to 3,968.76, 5,948.82 and 2,667

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Solution

The fourth proportional to 3,968.76, 5,948.82 and 2,667 is: 3,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.76 : 5,948.82 = 2,667 : x
  2. Step 2: Convert to fraction form
    3,968.76/5,948.82 = 2,667/x
  3. Step 3: Cross multiply
    3,968.76x = 5,948.82 × 2,667
  4. Step 4: Simplify right side
    3,968.76x = 15,865,502.94
  5. Step 5: Solve for x
    x = 15,865,502.94/3,968.76
  6. Step 6: Final answer
    x = 3,997.60

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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.