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Finding the Fourth Proportional to 2,133.44, 3,200.21 and 727.79

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Solution

The fourth proportional to 2,133.44, 3,200.21 and 727.79 is: 1,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.44 : 3,200.21 = 727.79 : x
  2. Step 2: Convert to fraction form
    2,133.44/3,200.21 = 727.79/x
  3. Step 3: Cross multiply
    2,133.44x = 3,200.21 × 727.79
  4. Step 4: Simplify right side
    2,133.44x = 2,329,063.93
  5. Step 5: Solve for x
    x = 2,329,063.93/2,133.44
  6. Step 6: Final answer
    x = 1,091.69

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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.