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Finding the Fourth Proportional to 18,213.40, 27,324 and 10,319.66

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Solution

The fourth proportional to 18,213.40, 27,324 and 10,319.66 is: 15,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213.40 : 27,324 = 10,319.66 : x
  2. Step 2: Convert to fraction form
    18,213.40/27,324 = 10,319.66/x
  3. Step 3: Cross multiply
    18,213.40x = 27,324 × 10,319.66
  4. Step 4: Simplify right side
    18,213.40x = 281,974,389.84
  5. Step 5: Solve for x
    x = 281,974,389.84/18,213.40
  6. Step 6: Final answer
    x = 15,481.70

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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.