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Finding the Fourth Proportional to 20,115, 27,759.18 and 11,283

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Solution

The fourth proportional to 20,115, 27,759.18 and 11,283 is: 15,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115 : 27,759.18 = 11,283 : x
  2. Step 2: Convert to fraction form
    20,115/27,759.18 = 11,283/x
  3. Step 3: Cross multiply
    20,115x = 27,759.18 × 11,283
  4. Step 4: Simplify right side
    20,115x = 313,206,827.94
  5. Step 5: Solve for x
    x = 313,206,827.94/20,115
  6. Step 6: Final answer
    x = 15,570.81

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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.