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Finding the Fourth Proportional to 33,205.70, 49,821.90 and 13,485.80

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Solution

The fourth proportional to 33,205.70, 49,821.90 and 13,485.80 is: 20,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.70 : 49,821.90 = 13,485.80 : x
  2. Step 2: Convert to fraction form
    33,205.70/49,821.90 = 13,485.80/x
  3. Step 3: Cross multiply
    33,205.70x = 49,821.90 × 13,485.80
  4. Step 4: Simplify right side
    33,205.70x = 671,888,179.02
  5. Step 5: Solve for x
    x = 671,888,179.02/33,205.70
  6. Step 6: Final answer
    x = 20,234.12

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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.