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Finding the Fourth Proportional to 3,847.82, 5,768.27 and 1,382.06

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Solution

The fourth proportional to 3,847.82, 5,768.27 and 1,382.06 is: 2,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.82 : 5,768.27 = 1,382.06 : x
  2. Step 2: Convert to fraction form
    3,847.82/5,768.27 = 1,382.06/x
  3. Step 3: Cross multiply
    3,847.82x = 5,768.27 × 1,382.06
  4. Step 4: Simplify right side
    3,847.82x = 7,972,095.24
  5. Step 5: Solve for x
    x = 7,972,095.24/3,847.82
  6. Step 6: Final answer
    x = 2,071.85

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