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Finding the Fourth Proportional to 1,274.94, 1,914.03 and 1,083.78

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Solution

The fourth proportional to 1,274.94, 1,914.03 and 1,083.78 is: 1,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.94 : 1,914.03 = 1,083.78 : x
  2. Step 2: Convert to fraction form
    1,274.94/1,914.03 = 1,083.78/x
  3. Step 3: Cross multiply
    1,274.94x = 1,914.03 × 1,083.78
  4. Step 4: Simplify right side
    1,274.94x = 2,074,387.43
  5. Step 5: Solve for x
    x = 2,074,387.43/1,274.94
  6. Step 6: Final answer
    x = 1,627.05

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