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Finding the Fourth Proportional to 3,489.21, 5,233.81 and 892.15

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Solution

The fourth proportional to 3,489.21, 5,233.81 and 892.15 is: 1,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.21 : 5,233.81 = 892.15 : x
  2. Step 2: Convert to fraction form
    3,489.21/5,233.81 = 892.15/x
  3. Step 3: Cross multiply
    3,489.21x = 5,233.81 × 892.15
  4. Step 4: Simplify right side
    3,489.21x = 4,669,343.59
  5. Step 5: Solve for x
    x = 4,669,343.59/3,489.21
  6. Step 6: Final answer
    x = 1,338.22

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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.