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Finding the Fourth Proportional to 20,021.50, 30,034.68 and 6,170.50

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Solution

The fourth proportional to 20,021.50, 30,034.68 and 6,170.50 is: 9,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021.50 : 30,034.68 = 6,170.50 : x
  2. Step 2: Convert to fraction form
    20,021.50/30,034.68 = 6,170.50/x
  3. Step 3: Cross multiply
    20,021.50x = 30,034.68 × 6,170.50
  4. Step 4: Simplify right side
    20,021.50x = 185,328,992.94
  5. Step 5: Solve for x
    x = 185,328,992.94/20,021.50
  6. Step 6: Final answer
    x = 9,256.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.