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Finding the Fourth Proportional to 2,608.96, 3,909.76 and 1,958.96

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Solution

The fourth proportional to 2,608.96, 3,909.76 and 1,958.96 is: 2,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.96 : 3,909.76 = 1,958.96 : x
  2. Step 2: Convert to fraction form
    2,608.96/3,909.76 = 1,958.96/x
  3. Step 3: Cross multiply
    2,608.96x = 3,909.76 × 1,958.96
  4. Step 4: Simplify right side
    2,608.96x = 7,659,063.45
  5. Step 5: Solve for x
    x = 7,659,063.45/2,608.96
  6. Step 6: Final answer
    x = 2,935.68

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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.