Home / 3,876.30-5,815.14-1,414.56

Finding the Fourth Proportional to 3,876.30, 5,815.14 and 1,414.56

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Solution

The fourth proportional to 3,876.30, 5,815.14 and 1,414.56 is: 2,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.30 : 5,815.14 = 1,414.56 : x
  2. Step 2: Convert to fraction form
    3,876.30/5,815.14 = 1,414.56/x
  3. Step 3: Cross multiply
    3,876.30x = 5,815.14 × 1,414.56
  4. Step 4: Simplify right side
    3,876.30x = 8,225,864.44
  5. Step 5: Solve for x
    x = 8,225,864.44/3,876.30
  6. Step 6: Final answer
    x = 2,122.09

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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.