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Finding the Fourth Proportional to 12,174.28, 18,225.82 and 11,006.97

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Solution

The fourth proportional to 12,174.28, 18,225.82 and 11,006.97 is: 16,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.28 : 18,225.82 = 11,006.97 : x
  2. Step 2: Convert to fraction form
    12,174.28/18,225.82 = 11,006.97/x
  3. Step 3: Cross multiply
    12,174.28x = 18,225.82 × 11,006.97
  4. Step 4: Simplify right side
    12,174.28x = 200,611,053.97
  5. Step 5: Solve for x
    x = 200,611,053.97/12,174.28
  6. Step 6: Final answer
    x = 16,478.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.