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Finding the Fourth Proportional to 3,200.80, 4,801.20 and 2,093.65

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Solution

The fourth proportional to 3,200.80, 4,801.20 and 2,093.65 is: 3,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.80 : 4,801.20 = 2,093.65 : x
  2. Step 2: Convert to fraction form
    3,200.80/4,801.20 = 2,093.65/x
  3. Step 3: Cross multiply
    3,200.80x = 4,801.20 × 2,093.65
  4. Step 4: Simplify right side
    3,200.80x = 10,052,032.38
  5. Step 5: Solve for x
    x = 10,052,032.38/3,200.80
  6. Step 6: Final answer
    x = 3,140.48

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Similar ratio
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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.