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Finding the Fourth Proportional to 3,936.38, 5,905.52 and 1,200.38

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Solution

The fourth proportional to 3,936.38, 5,905.52 and 1,200.38 is: 1,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.38 : 5,905.52 = 1,200.38 : x
  2. Step 2: Convert to fraction form
    3,936.38/5,905.52 = 1,200.38/x
  3. Step 3: Cross multiply
    3,936.38x = 5,905.52 × 1,200.38
  4. Step 4: Simplify right side
    3,936.38x = 7,088,841.57
  5. Step 5: Solve for x
    x = 7,088,841.57/3,936.38
  6. Step 6: Final answer
    x = 1,800.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.