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Finding the Fourth Proportional to 12,005, 18,007.58 and 3,797

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Solution

The fourth proportional to 12,005, 18,007.58 and 3,797 is: 5,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 18,007.58 = 3,797 : x
  2. Step 2: Convert to fraction form
    12,005/18,007.58 = 3,797/x
  3. Step 3: Cross multiply
    12,005x = 18,007.58 × 3,797
  4. Step 4: Simplify right side
    12,005x = 68,374,781.26
  5. Step 5: Solve for x
    x = 68,374,781.26/12,005
  6. Step 6: Final answer
    x = 5,695.53

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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.