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Finding the Fourth Proportional to 3,878.90, 5,821.32 and 2,841.62

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Solution

The fourth proportional to 3,878.90, 5,821.32 and 2,841.62 is: 4,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.90 : 5,821.32 = 2,841.62 : x
  2. Step 2: Convert to fraction form
    3,878.90/5,821.32 = 2,841.62/x
  3. Step 3: Cross multiply
    3,878.90x = 5,821.32 × 2,841.62
  4. Step 4: Simplify right side
    3,878.90x = 16,541,979.34
  5. Step 5: Solve for x
    x = 16,541,979.34/3,878.90
  6. Step 6: Final answer
    x = 4,264.61

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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.