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Finding the Fourth Proportional to 34,821.20, 52,210.20 and 20,022.80

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Solution

The fourth proportional to 34,821.20, 52,210.20 and 20,022.80 is: 30,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,821.20 : 52,210.20 = 20,022.80 : x
  2. Step 2: Convert to fraction form
    34,821.20/52,210.20 = 20,022.80/x
  3. Step 3: Cross multiply
    34,821.20x = 52,210.20 × 20,022.80
  4. Step 4: Simplify right side
    34,821.20x = 1,045,394,392.56
  5. Step 5: Solve for x
    x = 1,045,394,392.56/34,821.20
  6. Step 6: Final answer
    x = 30,021.78

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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.