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Finding the Fourth Proportional to 18,450, 27,681.48 and 8,062.56

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Solution

The fourth proportional to 18,450, 27,681.48 and 8,062.56 is: 12,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,450 : 27,681.48 = 8,062.56 : x
  2. Step 2: Convert to fraction form
    18,450/27,681.48 = 8,062.56/x
  3. Step 3: Cross multiply
    18,450x = 27,681.48 × 8,062.56
  4. Step 4: Simplify right side
    18,450x = 223,183,593.39
  5. Step 5: Solve for x
    x = 223,183,593.39/18,450
  6. Step 6: Final answer
    x = 12,096.67

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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.