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Finding the Fourth Proportional to 8,083.96, 12,127.32 and 4,137.82

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Solution

The fourth proportional to 8,083.96, 12,127.32 and 4,137.82 is: 6,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.96 : 12,127.32 = 4,137.82 : x
  2. Step 2: Convert to fraction form
    8,083.96/12,127.32 = 4,137.82/x
  3. Step 3: Cross multiply
    8,083.96x = 12,127.32 × 4,137.82
  4. Step 4: Simplify right side
    8,083.96x = 50,180,636.92
  5. Step 5: Solve for x
    x = 50,180,636.92/8,083.96
  6. Step 6: Final answer
    x = 6,207.43

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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.