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Finding the Fourth Proportional to 18,231.62, 27,349.65 and 7,136.84

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Solution

The fourth proportional to 18,231.62, 27,349.65 and 7,136.84 is: 10,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231.62 : 27,349.65 = 7,136.84 : x
  2. Step 2: Convert to fraction form
    18,231.62/27,349.65 = 7,136.84/x
  3. Step 3: Cross multiply
    18,231.62x = 27,349.65 × 7,136.84
  4. Step 4: Simplify right side
    18,231.62x = 195,190,144.48
  5. Step 5: Solve for x
    x = 195,190,144.48/18,231.62
  6. Step 6: Final answer
    x = 10,706.14

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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.