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Finding the Fourth Proportional to 1,981.82, 2,968.94 and 1,202.06

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Solution

The fourth proportional to 1,981.82, 2,968.94 and 1,202.06 is: 1,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.82 : 2,968.94 = 1,202.06 : x
  2. Step 2: Convert to fraction form
    1,981.82/2,968.94 = 1,202.06/x
  3. Step 3: Cross multiply
    1,981.82x = 2,968.94 × 1,202.06
  4. Step 4: Simplify right side
    1,981.82x = 3,568,844.02
  5. Step 5: Solve for x
    x = 3,568,844.02/1,981.82
  6. Step 6: Final answer
    x = 1,800.79

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