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Finding the Fourth Proportional to 11,896.80, 17,845.20 and 3,578.10

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Solution

The fourth proportional to 11,896.80, 17,845.20 and 3,578.10 is: 5,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.80 : 17,845.20 = 3,578.10 : x
  2. Step 2: Convert to fraction form
    11,896.80/17,845.20 = 3,578.10/x
  3. Step 3: Cross multiply
    11,896.80x = 17,845.20 × 3,578.10
  4. Step 4: Simplify right side
    11,896.80x = 63,851,910.12
  5. Step 5: Solve for x
    x = 63,851,910.12/11,896.80
  6. Step 6: Final answer
    x = 5,367.15

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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.