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Finding the Fourth Proportional to 12,136, 18,201.96 and 3,371.80

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Solution

The fourth proportional to 12,136, 18,201.96 and 3,371.80 is: 5,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136 : 18,201.96 = 3,371.80 : x
  2. Step 2: Convert to fraction form
    12,136/18,201.96 = 3,371.80/x
  3. Step 3: Cross multiply
    12,136x = 18,201.96 × 3,371.80
  4. Step 4: Simplify right side
    12,136x = 61,373,368.73
  5. Step 5: Solve for x
    x = 61,373,368.73/12,136
  6. Step 6: Final answer
    x = 5,057.13

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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.