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Finding the Fourth Proportional to 3,891.54, 5,839.01 and 2,042.21

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Solution

The fourth proportional to 3,891.54, 5,839.01 and 2,042.21 is: 3,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.54 : 5,839.01 = 2,042.21 : x
  2. Step 2: Convert to fraction form
    3,891.54/5,839.01 = 2,042.21/x
  3. Step 3: Cross multiply
    3,891.54x = 5,839.01 × 2,042.21
  4. Step 4: Simplify right side
    3,891.54x = 11,924,445.21
  5. Step 5: Solve for x
    x = 11,924,445.21/3,891.54
  6. Step 6: Final answer
    x = 3,064.20

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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.