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Finding the Fourth Proportional to 7,980.67, 11,976.17 and 3,597.86

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Solution

The fourth proportional to 7,980.67, 11,976.17 and 3,597.86 is: 5,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.67 : 11,976.17 = 3,597.86 : x
  2. Step 2: Convert to fraction form
    7,980.67/11,976.17 = 3,597.86/x
  3. Step 3: Cross multiply
    7,980.67x = 11,976.17 × 3,597.86
  4. Step 4: Simplify right side
    7,980.67x = 43,088,550.04
  5. Step 5: Solve for x
    x = 43,088,550.04/7,980.67
  6. Step 6: Final answer
    x = 5,399.12

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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.