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Finding the Fourth Proportional to 3,991.95, 5,979.91 and 2,409.76

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Solution

The fourth proportional to 3,991.95, 5,979.91 and 2,409.76 is: 3,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.95 : 5,979.91 = 2,409.76 : x
  2. Step 2: Convert to fraction form
    3,991.95/5,979.91 = 2,409.76/x
  3. Step 3: Cross multiply
    3,991.95x = 5,979.91 × 2,409.76
  4. Step 4: Simplify right side
    3,991.95x = 14,410,172.47
  5. Step 5: Solve for x
    x = 14,410,172.47/3,991.95
  6. Step 6: Final answer
    x = 3,609.81

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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.