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Finding the Fourth Proportional to 8,005, 12,009.42 and 2,533

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Solution

The fourth proportional to 8,005, 12,009.42 and 2,533 is: 3,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005 : 12,009.42 = 2,533 : x
  2. Step 2: Convert to fraction form
    8,005/12,009.42 = 2,533/x
  3. Step 3: Cross multiply
    8,005x = 12,009.42 × 2,533
  4. Step 4: Simplify right side
    8,005x = 30,419,860.86
  5. Step 5: Solve for x
    x = 30,419,860.86/8,005
  6. Step 6: Final answer
    x = 3,800.11

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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.