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Finding the Fourth Proportional to 7,991.82, 11,991.48 and 4,098.96

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Solution

The fourth proportional to 7,991.82, 11,991.48 and 4,098.96 is: 6,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.82 : 11,991.48 = 4,098.96 : x
  2. Step 2: Convert to fraction form
    7,991.82/11,991.48 = 4,098.96/x
  3. Step 3: Cross multiply
    7,991.82x = 11,991.48 × 4,098.96
  4. Step 4: Simplify right side
    7,991.82x = 49,152,596.86
  5. Step 5: Solve for x
    x = 49,152,596.86/7,991.82
  6. Step 6: Final answer
    x = 6,150.36

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1.5x scale

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.