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Finding the Fourth Proportional to 13,583.64, 20,376.68 and 3,722.97

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Solution

The fourth proportional to 13,583.64, 20,376.68 and 3,722.97 is: 5,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.64 : 20,376.68 = 3,722.97 : x
  2. Step 2: Convert to fraction form
    13,583.64/20,376.68 = 3,722.97/x
  3. Step 3: Cross multiply
    13,583.64x = 20,376.68 × 3,722.97
  4. Step 4: Simplify right side
    13,583.64x = 75,861,749.72
  5. Step 5: Solve for x
    x = 75,861,749.72/13,583.64
  6. Step 6: Final answer
    x = 5,584.79

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