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Finding the Fourth Proportional to 7,980.67, 11,975.63 and 3,299.82

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Solution

The fourth proportional to 7,980.67, 11,975.63 and 3,299.82 is: 4,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.67 : 11,975.63 = 3,299.82 : x
  2. Step 2: Convert to fraction form
    7,980.67/11,975.63 = 3,299.82/x
  3. Step 3: Cross multiply
    7,980.67x = 11,975.63 × 3,299.82
  4. Step 4: Simplify right side
    7,980.67x = 39,517,423.39
  5. Step 5: Solve for x
    x = 39,517,423.39/7,980.67
  6. Step 6: Final answer
    x = 4,951.64

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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.