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Finding the Fourth Proportional to 2,936.43, 4,401.81 and 988.38

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Solution

The fourth proportional to 2,936.43, 4,401.81 and 988.38 is: 1,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.43 : 4,401.81 = 988.38 : x
  2. Step 2: Convert to fraction form
    2,936.43/4,401.81 = 988.38/x
  3. Step 3: Cross multiply
    2,936.43x = 4,401.81 × 988.38
  4. Step 4: Simplify right side
    2,936.43x = 4,350,660.97
  5. Step 5: Solve for x
    x = 4,350,660.97/2,936.43
  6. Step 6: Final answer
    x = 1,481.62

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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.