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Finding the Fourth Proportional to 3,892.21, 5,837.44 and 1,118.86

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Solution

The fourth proportional to 3,892.21, 5,837.44 and 1,118.86 is: 1,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.21 : 5,837.44 = 1,118.86 : x
  2. Step 2: Convert to fraction form
    3,892.21/5,837.44 = 1,118.86/x
  3. Step 3: Cross multiply
    3,892.21x = 5,837.44 × 1,118.86
  4. Step 4: Simplify right side
    3,892.21x = 6,531,278.12
  5. Step 5: Solve for x
    x = 6,531,278.12/3,892.21
  6. Step 6: Final answer
    x = 1,678.04

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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.