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Finding the Fourth Proportional to 7,980.87, 11,971.31 and 3,593.21

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Solution

The fourth proportional to 7,980.87, 11,971.31 and 3,593.21 is: 5,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.87 : 11,971.31 = 3,593.21 : x
  2. Step 2: Convert to fraction form
    7,980.87/11,971.31 = 3,593.21/x
  3. Step 3: Cross multiply
    7,980.87x = 11,971.31 × 3,593.21
  4. Step 4: Simplify right side
    7,980.87x = 43,015,352.98
  5. Step 5: Solve for x
    x = 43,015,352.98/7,980.87
  6. Step 6: Final answer
    x = 5,389.80

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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.