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Finding the Fourth Proportional to 18,108, 27,164.43 and 7,722.18

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Solution

The fourth proportional to 18,108, 27,164.43 and 7,722.18 is: 11,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,108 : 27,164.43 = 7,722.18 : x
  2. Step 2: Convert to fraction form
    18,108/27,164.43 = 7,722.18/x
  3. Step 3: Cross multiply
    18,108x = 27,164.43 × 7,722.18
  4. Step 4: Simplify right side
    18,108x = 209,768,618.06
  5. Step 5: Solve for x
    x = 209,768,618.06/18,108
  6. Step 6: Final answer
    x = 11,584.31

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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.