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Finding the Fourth Proportional to 5,709.92, 7,879.09 and 3,191.77

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Solution

The fourth proportional to 5,709.92, 7,879.09 and 3,191.77 is: 4,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.92 : 7,879.09 = 3,191.77 : x
  2. Step 2: Convert to fraction form
    5,709.92/7,879.09 = 3,191.77/x
  3. Step 3: Cross multiply
    5,709.92x = 7,879.09 × 3,191.77
  4. Step 4: Simplify right side
    5,709.92x = 25,148,187.74
  5. Step 5: Solve for x
    x = 25,148,187.74/5,709.92
  6. Step 6: Final answer
    x = 4,404.30

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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.