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Finding the Fourth Proportional to 33,221.80, 49,815.60 and 9,845.20

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Solution

The fourth proportional to 33,221.80, 49,815.60 and 9,845.20 is: 14,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.80 : 49,815.60 = 9,845.20 : x
  2. Step 2: Convert to fraction form
    33,221.80/49,815.60 = 9,845.20/x
  3. Step 3: Cross multiply
    33,221.80x = 49,815.60 × 9,845.20
  4. Step 4: Simplify right side
    33,221.80x = 490,444,545.12
  5. Step 5: Solve for x
    x = 490,444,545.12/33,221.80
  6. Step 6: Final answer
    x = 14,762.73

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1.5x scale

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.