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Finding the Fourth Proportional to 22,136, 30,549.60 and 12,201.92

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Solution

The fourth proportional to 22,136, 30,549.60 and 12,201.92 is: 16,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,136 : 30,549.60 = 12,201.92 : x
  2. Step 2: Convert to fraction form
    22,136/30,549.60 = 12,201.92/x
  3. Step 3: Cross multiply
    22,136x = 30,549.60 × 12,201.92
  4. Step 4: Simplify right side
    22,136x = 372,763,775.23
  5. Step 5: Solve for x
    x = 372,763,775.23/22,136
  6. Step 6: Final answer
    x = 16,839.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.