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Finding the Fourth Proportional to 3,934, 5,429.40 and 2,278

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Solution

The fourth proportional to 3,934, 5,429.40 and 2,278 is: 3,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934 : 5,429.40 = 2,278 : x
  2. Step 2: Convert to fraction form
    3,934/5,429.40 = 2,278/x
  3. Step 3: Cross multiply
    3,934x = 5,429.40 × 2,278
  4. Step 4: Simplify right side
    3,934x = 12,368,173.20
  5. Step 5: Solve for x
    x = 12,368,173.20/3,934
  6. Step 6: Final answer
    x = 3,143.92

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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.