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Finding the Fourth Proportional to 5,881, 8,115.79 and 3,228.56

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Solution

The fourth proportional to 5,881, 8,115.79 and 3,228.56 is: 4,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881 : 8,115.79 = 3,228.56 : x
  2. Step 2: Convert to fraction form
    5,881/8,115.79 = 3,228.56/x
  3. Step 3: Cross multiply
    5,881x = 8,115.79 × 3,228.56
  4. Step 4: Simplify right side
    5,881x = 26,202,314.96
  5. Step 5: Solve for x
    x = 26,202,314.96/5,881
  6. Step 6: Final answer
    x = 4,455.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.