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Finding the Fourth Proportional to 5,978.84, 8,969.16 and 2,082.44

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Solution

The fourth proportional to 5,978.84, 8,969.16 and 2,082.44 is: 3,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.84 : 8,969.16 = 2,082.44 : x
  2. Step 2: Convert to fraction form
    5,978.84/8,969.16 = 2,082.44/x
  3. Step 3: Cross multiply
    5,978.84x = 8,969.16 × 2,082.44
  4. Step 4: Simplify right side
    5,978.84x = 18,677,737.55
  5. Step 5: Solve for x
    x = 18,677,737.55/5,978.84
  6. Step 6: Final answer
    x = 3,123.97

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