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Finding the Fourth Proportional to 3,920.58, 5,878.50 and 1,841.04

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Solution

The fourth proportional to 3,920.58, 5,878.50 and 1,841.04 is: 2,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.58 : 5,878.50 = 1,841.04 : x
  2. Step 2: Convert to fraction form
    3,920.58/5,878.50 = 1,841.04/x
  3. Step 3: Cross multiply
    3,920.58x = 5,878.50 × 1,841.04
  4. Step 4: Simplify right side
    3,920.58x = 10,822,553.64
  5. Step 5: Solve for x
    x = 10,822,553.64/3,920.58
  6. Step 6: Final answer
    x = 2,760.45

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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.