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Finding the Fourth Proportional to 5,147.26, 7,721.96 and 2,069.26

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Solution

The fourth proportional to 5,147.26, 7,721.96 and 2,069.26 is: 3,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.26 : 7,721.96 = 2,069.26 : x
  2. Step 2: Convert to fraction form
    5,147.26/7,721.96 = 2,069.26/x
  3. Step 3: Cross multiply
    5,147.26x = 7,721.96 × 2,069.26
  4. Step 4: Simplify right side
    5,147.26x = 15,978,742.95
  5. Step 5: Solve for x
    x = 15,978,742.95/5,147.26
  6. Step 6: Final answer
    x = 3,104.32

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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.