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Finding the Fourth Proportional to 5,381.14, 8,062.64 and 3,813.56

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Solution

The fourth proportional to 5,381.14, 8,062.64 and 3,813.56 is: 5,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.14 : 8,062.64 = 3,813.56 : x
  2. Step 2: Convert to fraction form
    5,381.14/8,062.64 = 3,813.56/x
  3. Step 3: Cross multiply
    5,381.14x = 8,062.64 × 3,813.56
  4. Step 4: Simplify right side
    5,381.14x = 30,747,361.40
  5. Step 5: Solve for x
    x = 30,747,361.40/5,381.14
  6. Step 6: Final answer
    x = 5,713.91

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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.