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Finding the Fourth Proportional to 3,546.16, 5,311.80 and 1,698.80

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Solution

The fourth proportional to 3,546.16, 5,311.80 and 1,698.80 is: 2,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.16 : 5,311.80 = 1,698.80 : x
  2. Step 2: Convert to fraction form
    3,546.16/5,311.80 = 1,698.80/x
  3. Step 3: Cross multiply
    3,546.16x = 5,311.80 × 1,698.80
  4. Step 4: Simplify right side
    3,546.16x = 9,023,685.84
  5. Step 5: Solve for x
    x = 9,023,685.84/3,546.16
  6. Step 6: Final answer
    x = 2,544.64

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