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Finding the Fourth Proportional to 20,013, 30,019.91 and 6,162

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Solution

The fourth proportional to 20,013, 30,019.91 and 6,162 is: 9,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013 : 30,019.91 = 6,162 : x
  2. Step 2: Convert to fraction form
    20,013/30,019.91 = 6,162/x
  3. Step 3: Cross multiply
    20,013x = 30,019.91 × 6,162
  4. Step 4: Simplify right side
    20,013x = 184,982,654.61
  5. Step 5: Solve for x
    x = 184,982,654.61/20,013
  6. Step 6: Final answer
    x = 9,243.12

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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.