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Finding the Fourth Proportional to 5,456.16, 8,164.80 and 3,265.92

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Solution

The fourth proportional to 5,456.16, 8,164.80 and 3,265.92 is: 4,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.16 : 8,164.80 = 3,265.92 : x
  2. Step 2: Convert to fraction form
    5,456.16/8,164.80 = 3,265.92/x
  3. Step 3: Cross multiply
    5,456.16x = 8,164.80 × 3,265.92
  4. Step 4: Simplify right side
    5,456.16x = 26,665,583.62
  5. Step 5: Solve for x
    x = 26,665,583.62/5,456.16
  6. Step 6: Final answer
    x = 4,887.24

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