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Finding the Fourth Proportional to 18,136, 27,204 and 7,192

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Solution

The fourth proportional to 18,136, 27,204 and 7,192 is: 10,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136 : 27,204 = 7,192 : x
  2. Step 2: Convert to fraction form
    18,136/27,204 = 7,192/x
  3. Step 3: Cross multiply
    18,136x = 27,204 × 7,192
  4. Step 4: Simplify right side
    18,136x = 195,651,168
  5. Step 5: Solve for x
    x = 195,651,168/18,136
  6. Step 6: Final answer
    x = 10,788

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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.