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Finding the Fourth Proportional to 20,015, 30,022.92 and 6,164

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Solution

The fourth proportional to 20,015, 30,022.92 and 6,164 is: 9,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015 : 30,022.92 = 6,164 : x
  2. Step 2: Convert to fraction form
    20,015/30,022.92 = 6,164/x
  3. Step 3: Cross multiply
    20,015x = 30,022.92 × 6,164
  4. Step 4: Simplify right side
    20,015x = 185,061,278.88
  5. Step 5: Solve for x
    x = 185,061,278.88/20,015
  6. Step 6: Final answer
    x = 9,246.13

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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.