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Finding the Fourth Proportional to 7,733.20, 11,599.80 and 3,845.20

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Solution

The fourth proportional to 7,733.20, 11,599.80 and 3,845.20 is: 5,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.20 : 11,599.80 = 3,845.20 : x
  2. Step 2: Convert to fraction form
    7,733.20/11,599.80 = 3,845.20/x
  3. Step 3: Cross multiply
    7,733.20x = 11,599.80 × 3,845.20
  4. Step 4: Simplify right side
    7,733.20x = 44,603,550.96
  5. Step 5: Solve for x
    x = 44,603,550.96/7,733.20
  6. Step 6: Final answer
    x = 5,767.80

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