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Finding the Fourth Proportional to 3,822, 5,733 and 1,086

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Solution

The fourth proportional to 3,822, 5,733 and 1,086 is: 1,629

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822 : 5,733 = 1,086 : x
  2. Step 2: Convert to fraction form
    3,822/5,733 = 1,086/x
  3. Step 3: Cross multiply
    3,822x = 5,733 × 1,086
  4. Step 4: Simplify right side
    3,822x = 6,226,038
  5. Step 5: Solve for x
    x = 6,226,038/3,822
  6. Step 6: Final answer
    x = 1,629

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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.