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Finding the Fourth Proportional to 3,940.71, 5,438.19 and 2,172.27

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Solution

The fourth proportional to 3,940.71, 5,438.19 and 2,172.27 is: 2,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.71 : 5,438.19 = 2,172.27 : x
  2. Step 2: Convert to fraction form
    3,940.71/5,438.19 = 2,172.27/x
  3. Step 3: Cross multiply
    3,940.71x = 5,438.19 × 2,172.27
  4. Step 4: Simplify right side
    3,940.71x = 11,813,216.99
  5. Step 5: Solve for x
    x = 11,813,216.99/3,940.71
  6. Step 6: Final answer
    x = 2,997.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.