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Finding the Fourth Proportional to 18,211, 27,291.10 and 13,765

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Solution

The fourth proportional to 18,211, 27,291.10 and 13,765 is: 20,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211 : 27,291.10 = 13,765 : x
  2. Step 2: Convert to fraction form
    18,211/27,291.10 = 13,765/x
  3. Step 3: Cross multiply
    18,211x = 27,291.10 × 13,765
  4. Step 4: Simplify right side
    18,211x = 375,661,991.50
  5. Step 5: Solve for x
    x = 375,661,991.50/18,211
  6. Step 6: Final answer
    x = 20,628.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.