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Finding the Fourth Proportional to 18,022.70, 27,038.61 and 5,542.22

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Solution

The fourth proportional to 18,022.70, 27,038.61 and 5,542.22 is: 8,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022.70 : 27,038.61 = 5,542.22 : x
  2. Step 2: Convert to fraction form
    18,022.70/27,038.61 = 5,542.22/x
  3. Step 3: Cross multiply
    18,022.70x = 27,038.61 × 5,542.22
  4. Step 4: Simplify right side
    18,022.70x = 149,853,992.71
  5. Step 5: Solve for x
    x = 149,853,992.71/18,022.70
  6. Step 6: Final answer
    x = 8,314.73

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