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Finding the Fourth Proportional to 2,876, 4,310.93 and 1,640.75

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Solution

The fourth proportional to 2,876, 4,310.93 and 1,640.75 is: 2,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876 : 4,310.93 = 1,640.75 : x
  2. Step 2: Convert to fraction form
    2,876/4,310.93 = 1,640.75/x
  3. Step 3: Cross multiply
    2,876x = 4,310.93 × 1,640.75
  4. Step 4: Simplify right side
    2,876x = 7,073,158.40
  5. Step 5: Solve for x
    x = 7,073,158.40/2,876
  6. Step 6: Final answer
    x = 2,459.37

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