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Finding the Fourth Proportional to 1,900.96, 2,849.76 and 1,786.24

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Solution

The fourth proportional to 1,900.96, 2,849.76 and 1,786.24 is: 2,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.96 : 2,849.76 = 1,786.24 : x
  2. Step 2: Convert to fraction form
    1,900.96/2,849.76 = 1,786.24/x
  3. Step 3: Cross multiply
    1,900.96x = 2,849.76 × 1,786.24
  4. Step 4: Simplify right side
    1,900.96x = 5,090,355.30
  5. Step 5: Solve for x
    x = 5,090,355.30/1,900.96
  6. Step 6: Final answer
    x = 2,677.78

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