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Finding the Fourth Proportional to 2,287.84, 3,432.24 and 727.65

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Solution

The fourth proportional to 2,287.84, 3,432.24 and 727.65 is: 1,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.84 : 3,432.24 = 727.65 : x
  2. Step 2: Convert to fraction form
    2,287.84/3,432.24 = 727.65/x
  3. Step 3: Cross multiply
    2,287.84x = 3,432.24 × 727.65
  4. Step 4: Simplify right side
    2,287.84x = 2,497,469.44
  5. Step 5: Solve for x
    x = 2,497,469.44/2,287.84
  6. Step 6: Final answer
    x = 1,091.63

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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.