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Finding the Fourth Proportional to 2,786.76, 4,175.28 and 2,485.44

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Solution

The fourth proportional to 2,786.76, 4,175.28 and 2,485.44 is: 3,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.76 : 4,175.28 = 2,485.44 : x
  2. Step 2: Convert to fraction form
    2,786.76/4,175.28 = 2,485.44/x
  3. Step 3: Cross multiply
    2,786.76x = 4,175.28 × 2,485.44
  4. Step 4: Simplify right side
    2,786.76x = 10,377,407.92
  5. Step 5: Solve for x
    x = 10,377,407.92/2,786.76
  6. Step 6: Final answer
    x = 3,723.83

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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.