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Finding the Fourth Proportional to 12,003, 18,007.38 and 3,795

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Solution

The fourth proportional to 12,003, 18,007.38 and 3,795 is: 5,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003 : 18,007.38 = 3,795 : x
  2. Step 2: Convert to fraction form
    12,003/18,007.38 = 3,795/x
  3. Step 3: Cross multiply
    12,003x = 18,007.38 × 3,795
  4. Step 4: Simplify right side
    12,003x = 68,338,007.10
  5. Step 5: Solve for x
    x = 68,338,007.10/12,003
  6. Step 6: Final answer
    x = 5,693.41

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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.