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Finding the Fourth Proportional to 3,881.91, 5,822.10 and 1,108.56

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Solution

The fourth proportional to 3,881.91, 5,822.10 and 1,108.56 is: 1,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.91 : 5,822.10 = 1,108.56 : x
  2. Step 2: Convert to fraction form
    3,881.91/5,822.10 = 1,108.56/x
  3. Step 3: Cross multiply
    3,881.91x = 5,822.10 × 1,108.56
  4. Step 4: Simplify right side
    3,881.91x = 6,454,147.18
  5. Step 5: Solve for x
    x = 6,454,147.18/3,881.91
  6. Step 6: Final answer
    x = 1,662.62

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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.