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Finding the Fourth Proportional to 3,101.76, 4,638.24 and 2,400.48

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Solution

The fourth proportional to 3,101.76, 4,638.24 and 2,400.48 is: 3,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.76 : 4,638.24 = 2,400.48 : x
  2. Step 2: Convert to fraction form
    3,101.76/4,638.24 = 2,400.48/x
  3. Step 3: Cross multiply
    3,101.76x = 4,638.24 × 2,400.48
  4. Step 4: Simplify right side
    3,101.76x = 11,134,002.36
  5. Step 5: Solve for x
    x = 11,134,002.36/3,101.76
  6. Step 6: Final answer
    x = 3,589.58

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