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Finding the Fourth Proportional to 7,980.96, 11,969.52 and 3,876

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Solution

The fourth proportional to 7,980.96, 11,969.52 and 3,876 is: 5,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.96 : 11,969.52 = 3,876 : x
  2. Step 2: Convert to fraction form
    7,980.96/11,969.52 = 3,876/x
  3. Step 3: Cross multiply
    7,980.96x = 11,969.52 × 3,876
  4. Step 4: Simplify right side
    7,980.96x = 46,393,859.52
  5. Step 5: Solve for x
    x = 46,393,859.52/7,980.96
  6. Step 6: Final answer
    x = 5,813.07

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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.