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Finding the Fourth Proportional to 5,361, 8,035.92 and 2,242.80

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Solution

The fourth proportional to 5,361, 8,035.92 and 2,242.80 is: 3,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361 : 8,035.92 = 2,242.80 : x
  2. Step 2: Convert to fraction form
    5,361/8,035.92 = 2,242.80/x
  3. Step 3: Cross multiply
    5,361x = 8,035.92 × 2,242.80
  4. Step 4: Simplify right side
    5,361x = 18,022,961.38
  5. Step 5: Solve for x
    x = 18,022,961.38/5,361
  6. Step 6: Final answer
    x = 3,361.87

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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.