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Finding the Fourth Proportional to 8,083.62, 12,128.47 and 2,819.03

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Solution

The fourth proportional to 8,083.62, 12,128.47 and 2,819.03 is: 4,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.62 : 12,128.47 = 2,819.03 : x
  2. Step 2: Convert to fraction form
    8,083.62/12,128.47 = 2,819.03/x
  3. Step 3: Cross multiply
    8,083.62x = 12,128.47 × 2,819.03
  4. Step 4: Simplify right side
    8,083.62x = 34,190,453.09
  5. Step 5: Solve for x
    x = 34,190,453.09/8,083.62
  6. Step 6: Final answer
    x = 4,229.60

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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.