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Finding the Fourth Proportional to 3,671.28, 5,067 and 2,255.76

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Solution

The fourth proportional to 3,671.28, 5,067 and 2,255.76 is: 3,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.28 : 5,067 = 2,255.76 : x
  2. Step 2: Convert to fraction form
    3,671.28/5,067 = 2,255.76/x
  3. Step 3: Cross multiply
    3,671.28x = 5,067 × 2,255.76
  4. Step 4: Simplify right side
    3,671.28x = 11,429,935.92
  5. Step 5: Solve for x
    x = 11,429,935.92/3,671.28
  6. Step 6: Final answer
    x = 3,113.34

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1.5x scale

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.