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Finding the Fourth Proportional to 20,014, 30,021.41 and 6,163

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Solution

The fourth proportional to 20,014, 30,021.41 and 6,163 is: 9,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014 : 30,021.41 = 6,163 : x
  2. Step 2: Convert to fraction form
    20,014/30,021.41 = 6,163/x
  3. Step 3: Cross multiply
    20,014x = 30,021.41 × 6,163
  4. Step 4: Simplify right side
    20,014x = 185,021,949.83
  5. Step 5: Solve for x
    x = 185,021,949.83/20,014
  6. Step 6: Final answer
    x = 9,244.63

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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.