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Finding the Fourth Proportional to 3,813.97, 5,731.71 and 2,254.71

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Solution

The fourth proportional to 3,813.97, 5,731.71 and 2,254.71 is: 3,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.97 : 5,731.71 = 2,254.71 : x
  2. Step 2: Convert to fraction form
    3,813.97/5,731.71 = 2,254.71/x
  3. Step 3: Cross multiply
    3,813.97x = 5,731.71 × 2,254.71
  4. Step 4: Simplify right side
    3,813.97x = 12,923,343.85
  5. Step 5: Solve for x
    x = 12,923,343.85/3,813.97
  6. Step 6: Final answer
    x = 3,388.42

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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.