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Finding the Fourth Proportional to 3,934, 5,429.46 and 2,536.48

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Solution

The fourth proportional to 3,934, 5,429.46 and 2,536.48 is: 3,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934 : 5,429.46 = 2,536.48 : x
  2. Step 2: Convert to fraction form
    3,934/5,429.46 = 2,536.48/x
  3. Step 3: Cross multiply
    3,934x = 5,429.46 × 2,536.48
  4. Step 4: Simplify right side
    3,934x = 13,771,716.70
  5. Step 5: Solve for x
    x = 13,771,716.70/3,934
  6. Step 6: Final answer
    x = 3,500.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.