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Finding the Fourth Proportional to 13,757.26, 20,639 and 4,992.16

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Solution

The fourth proportional to 13,757.26, 20,639 and 4,992.16 is: 7,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.26 : 20,639 = 4,992.16 : x
  2. Step 2: Convert to fraction form
    13,757.26/20,639 = 4,992.16/x
  3. Step 3: Cross multiply
    13,757.26x = 20,639 × 4,992.16
  4. Step 4: Simplify right side
    13,757.26x = 103,033,190.24
  5. Step 5: Solve for x
    x = 103,033,190.24/13,757.26
  6. Step 6: Final answer
    x = 7,489.37

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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.