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Finding the Fourth Proportional to 20,114, 27,757.64 and 11,282

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Solution

The fourth proportional to 20,114, 27,757.64 and 11,282 is: 15,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 27,757.64 = 11,282 : x
  2. Step 2: Convert to fraction form
    20,114/27,757.64 = 11,282/x
  3. Step 3: Cross multiply
    20,114x = 27,757.64 × 11,282
  4. Step 4: Simplify right side
    20,114x = 313,161,694.48
  5. Step 5: Solve for x
    x = 313,161,694.48/20,114
  6. Step 6: Final answer
    x = 15,569.34

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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.