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Finding the Fourth Proportional to 18,034, 27,055.36 and 5,722

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Solution

The fourth proportional to 18,034, 27,055.36 and 5,722 is: 8,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034 : 27,055.36 = 5,722 : x
  2. Step 2: Convert to fraction form
    18,034/27,055.36 = 5,722/x
  3. Step 3: Cross multiply
    18,034x = 27,055.36 × 5,722
  4. Step 4: Simplify right side
    18,034x = 154,810,769.92
  5. Step 5: Solve for x
    x = 154,810,769.92/18,034
  6. Step 6: Final answer
    x = 8,584.38

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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.