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Finding the Fourth Proportional to 20,195, 27,868.43 and 11,242.20

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Solution

The fourth proportional to 20,195, 27,868.43 and 11,242.20 is: 15,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195 : 27,868.43 = 11,242.20 : x
  2. Step 2: Convert to fraction form
    20,195/27,868.43 = 11,242.20/x
  3. Step 3: Cross multiply
    20,195x = 27,868.43 × 11,242.20
  4. Step 4: Simplify right side
    20,195x = 313,302,463.75
  5. Step 5: Solve for x
    x = 313,302,463.75/20,195
  6. Step 6: Final answer
    x = 15,513.86

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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.