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Finding the Fourth Proportional to 1,914.82, 2,871.82 and 682.20

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Solution

The fourth proportional to 1,914.82, 2,871.82 and 682.20 is: 1,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.82 : 2,871.82 = 682.20 : x
  2. Step 2: Convert to fraction form
    1,914.82/2,871.82 = 682.20/x
  3. Step 3: Cross multiply
    1,914.82x = 2,871.82 × 682.20
  4. Step 4: Simplify right side
    1,914.82x = 1,959,155.60
  5. Step 5: Solve for x
    x = 1,959,155.60/1,914.82
  6. Step 6: Final answer
    x = 1,023.15

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