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Finding the Fourth Proportional to 7,827.76, 11,740.56 and 4,324.24

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Solution

The fourth proportional to 7,827.76, 11,740.56 and 4,324.24 is: 6,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.76 : 11,740.56 = 4,324.24 : x
  2. Step 2: Convert to fraction form
    7,827.76/11,740.56 = 4,324.24/x
  3. Step 3: Cross multiply
    7,827.76x = 11,740.56 × 4,324.24
  4. Step 4: Simplify right side
    7,827.76x = 50,768,999.17
  5. Step 5: Solve for x
    x = 50,768,999.17/7,827.76
  6. Step 6: Final answer
    x = 6,485.76

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