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Finding the Fourth Proportional to 7,310.09, 10,965.14 and 2,115.97

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Solution

The fourth proportional to 7,310.09, 10,965.14 and 2,115.97 is: 3,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.09 : 10,965.14 = 2,115.97 : x
  2. Step 2: Convert to fraction form
    7,310.09/10,965.14 = 2,115.97/x
  3. Step 3: Cross multiply
    7,310.09x = 10,965.14 × 2,115.97
  4. Step 4: Simplify right side
    7,310.09x = 23,201,907.29
  5. Step 5: Solve for x
    x = 23,201,907.29/7,310.09
  6. Step 6: Final answer
    x = 3,173.96

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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.