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Finding the Fourth Proportional to 18,480.86, 27,722.81 and 7,381.48

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Solution

The fourth proportional to 18,480.86, 27,722.81 and 7,381.48 is: 11,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480.86 : 27,722.81 = 7,381.48 : x
  2. Step 2: Convert to fraction form
    18,480.86/27,722.81 = 7,381.48/x
  3. Step 3: Cross multiply
    18,480.86x = 27,722.81 × 7,381.48
  4. Step 4: Simplify right side
    18,480.86x = 204,635,327.16
  5. Step 5: Solve for x
    x = 204,635,327.16/18,480.86
  6. Step 6: Final answer
    x = 11,072.83

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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.