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Finding the Fourth Proportional to 12,009, 18,013.58 and 3,801

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Solution

The fourth proportional to 12,009, 18,013.58 and 3,801 is: 5,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009 : 18,013.58 = 3,801 : x
  2. Step 2: Convert to fraction form
    12,009/18,013.58 = 3,801/x
  3. Step 3: Cross multiply
    12,009x = 18,013.58 × 3,801
  4. Step 4: Simplify right side
    12,009x = 68,469,617.58
  5. Step 5: Solve for x
    x = 68,469,617.58/12,009
  6. Step 6: Final answer
    x = 5,701.53

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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.