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Finding the Fourth Proportional to 8,006.57, 12,006 and 3,786.31

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Solution

The fourth proportional to 8,006.57, 12,006 and 3,786.31 is: 5,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.57 : 12,006 = 3,786.31 : x
  2. Step 2: Convert to fraction form
    8,006.57/12,006 = 3,786.31/x
  3. Step 3: Cross multiply
    8,006.57x = 12,006 × 3,786.31
  4. Step 4: Simplify right side
    8,006.57x = 45,458,377.83
  5. Step 5: Solve for x
    x = 45,458,377.83/8,006.57
  6. Step 6: Final answer
    x = 5,677.63

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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.