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Finding the Fourth Proportional to 3,898.20, 5,843.16 and 1,815.78

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Solution

The fourth proportional to 3,898.20, 5,843.16 and 1,815.78 is: 2,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.20 : 5,843.16 = 1,815.78 : x
  2. Step 2: Convert to fraction form
    3,898.20/5,843.16 = 1,815.78/x
  3. Step 3: Cross multiply
    3,898.20x = 5,843.16 × 1,815.78
  4. Step 4: Simplify right side
    3,898.20x = 10,609,893.06
  5. Step 5: Solve for x
    x = 10,609,893.06/3,898.20
  6. Step 6: Final answer
    x = 2,721.74

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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.