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Finding the Fourth Proportional to 4,658.48, 6,982.68 and 2,191.76

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Solution

The fourth proportional to 4,658.48, 6,982.68 and 2,191.76 is: 3,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.48 : 6,982.68 = 2,191.76 : x
  2. Step 2: Convert to fraction form
    4,658.48/6,982.68 = 2,191.76/x
  3. Step 3: Cross multiply
    4,658.48x = 6,982.68 × 2,191.76
  4. Step 4: Simplify right side
    4,658.48x = 15,304,358.72
  5. Step 5: Solve for x
    x = 15,304,358.72/4,658.48
  6. Step 6: Final answer
    x = 3,285.27

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