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Finding the Fourth Proportional to 3,876.26, 5,815.83 and 1,797.26

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Solution

The fourth proportional to 3,876.26, 5,815.83 and 1,797.26 is: 2,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.26 : 5,815.83 = 1,797.26 : x
  2. Step 2: Convert to fraction form
    3,876.26/5,815.83 = 1,797.26/x
  3. Step 3: Cross multiply
    3,876.26x = 5,815.83 × 1,797.26
  4. Step 4: Simplify right side
    3,876.26x = 10,452,558.63
  5. Step 5: Solve for x
    x = 10,452,558.63/3,876.26
  6. Step 6: Final answer
    x = 2,696.56

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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.