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Finding the Fourth Proportional to 31,749.98, 47,624.49 and 7,734.56

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Solution

The fourth proportional to 31,749.98, 47,624.49 and 7,734.56 is: 11,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,749.98 : 47,624.49 = 7,734.56 : x
  2. Step 2: Convert to fraction form
    31,749.98/47,624.49 = 7,734.56/x
  3. Step 3: Cross multiply
    31,749.98x = 47,624.49 × 7,734.56
  4. Step 4: Simplify right side
    31,749.98x = 368,354,237.25
  5. Step 5: Solve for x
    x = 368,354,237.25/31,749.98
  6. Step 6: Final answer
    x = 11,601.72

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