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Finding the Fourth Proportional to 1,877.94, 2,815.34 and 1,414.82

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Solution

The fourth proportional to 1,877.94, 2,815.34 and 1,414.82 is: 2,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.94 : 2,815.34 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    1,877.94/2,815.34 = 1,414.82/x
  3. Step 3: Cross multiply
    1,877.94x = 2,815.34 × 1,414.82
  4. Step 4: Simplify right side
    1,877.94x = 3,983,199.34
  5. Step 5: Solve for x
    x = 3,983,199.34/1,877.94
  6. Step 6: Final answer
    x = 2,121.05

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