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Finding the Fourth Proportional to 2,767.74, 3,819.83 and 1,588.78

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Solution

The fourth proportional to 2,767.74, 3,819.83 and 1,588.78 is: 2,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.74 : 3,819.83 = 1,588.78 : x
  2. Step 2: Convert to fraction form
    2,767.74/3,819.83 = 1,588.78/x
  3. Step 3: Cross multiply
    2,767.74x = 3,819.83 × 1,588.78
  4. Step 4: Simplify right side
    2,767.74x = 6,068,866.34
  5. Step 5: Solve for x
    x = 6,068,866.34/2,767.74
  6. Step 6: Final answer
    x = 2,192.72

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