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Finding the Fourth Proportional to 19,912.80, 27,478.41 and 11,414.94

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Solution

The fourth proportional to 19,912.80, 27,478.41 and 11,414.94 is: 15,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.80 : 27,478.41 = 11,414.94 : x
  2. Step 2: Convert to fraction form
    19,912.80/27,478.41 = 11,414.94/x
  3. Step 3: Cross multiply
    19,912.80x = 27,478.41 × 11,414.94
  4. Step 4: Simplify right side
    19,912.80x = 313,664,401.45
  5. Step 5: Solve for x
    x = 313,664,401.45/19,912.80
  6. Step 6: Final answer
    x = 15,751.90

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Why These Related Problems?

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