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Finding the Fourth Proportional to 20,286, 27,993.60 and 11,333.88

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Solution

The fourth proportional to 20,286, 27,993.60 and 11,333.88 is: 15,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 27,993.60 = 11,333.88 : x
  2. Step 2: Convert to fraction form
    20,286/27,993.60 = 11,333.88/x
  3. Step 3: Cross multiply
    20,286x = 27,993.60 × 11,333.88
  4. Step 4: Simplify right side
    20,286x = 317,276,103.17
  5. Step 5: Solve for x
    x = 317,276,103.17/20,286
  6. Step 6: Final answer
    x = 15,640.15

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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.