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Finding the Fourth Proportional to 20,012, 30,018.42 and 6,161

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Solution

The fourth proportional to 20,012, 30,018.42 and 6,161 is: 9,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012 : 30,018.42 = 6,161 : x
  2. Step 2: Convert to fraction form
    20,012/30,018.42 = 6,161/x
  3. Step 3: Cross multiply
    20,012x = 30,018.42 × 6,161
  4. Step 4: Simplify right side
    20,012x = 184,943,485.62
  5. Step 5: Solve for x
    x = 184,943,485.62/20,012
  6. Step 6: Final answer
    x = 9,241.63

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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.