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Finding the Fourth Proportional to 1,787.82, 2,467.86 and 1,600.98

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Solution

The fourth proportional to 1,787.82, 2,467.86 and 1,600.98 is: 2,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.82 : 2,467.86 = 1,600.98 : x
  2. Step 2: Convert to fraction form
    1,787.82/2,467.86 = 1,600.98/x
  3. Step 3: Cross multiply
    1,787.82x = 2,467.86 × 1,600.98
  4. Step 4: Simplify right side
    1,787.82x = 3,950,994.50
  5. Step 5: Solve for x
    x = 3,950,994.50/1,787.82
  6. Step 6: Final answer
    x = 2,209.95

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