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Finding the Fourth Proportional to 31,883.85, 47,825.78 and 11,102.49

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Solution

The fourth proportional to 31,883.85, 47,825.78 and 11,102.49 is: 16,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.85 : 47,825.78 = 11,102.49 : x
  2. Step 2: Convert to fraction form
    31,883.85/47,825.78 = 11,102.49/x
  3. Step 3: Cross multiply
    31,883.85x = 47,825.78 × 11,102.49
  4. Step 4: Simplify right side
    31,883.85x = 530,985,188.68
  5. Step 5: Solve for x
    x = 530,985,188.68/31,883.85
  6. Step 6: Final answer
    x = 16,653.74

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