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Finding the Fourth Proportional to 7,958.55, 11,933.26 and 3,281.78

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Solution

The fourth proportional to 7,958.55, 11,933.26 and 3,281.78 is: 4,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.55 : 11,933.26 = 3,281.78 : x
  2. Step 2: Convert to fraction form
    7,958.55/11,933.26 = 3,281.78/x
  3. Step 3: Cross multiply
    7,958.55x = 11,933.26 × 3,281.78
  4. Step 4: Simplify right side
    7,958.55x = 39,162,355.63
  5. Step 5: Solve for x
    x = 39,162,355.63/7,958.55
  6. Step 6: Final answer
    x = 4,920.79

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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.