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Finding the Fourth Proportional to 18,149.87, 27,204 and 9,811.19

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Solution

The fourth proportional to 18,149.87, 27,204 and 9,811.19 is: 14,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149.87 : 27,204 = 9,811.19 : x
  2. Step 2: Convert to fraction form
    18,149.87/27,204 = 9,811.19/x
  3. Step 3: Cross multiply
    18,149.87x = 27,204 × 9,811.19
  4. Step 4: Simplify right side
    18,149.87x = 266,903,476.74
  5. Step 5: Solve for x
    x = 266,903,476.74/18,149.87
  6. Step 6: Final answer
    x = 14,705.54

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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.