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Finding the Fourth Proportional to 13,751.88, 20,628.90 and 3,891.26

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Solution

The fourth proportional to 13,751.88, 20,628.90 and 3,891.26 is: 5,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.88 : 20,628.90 = 3,891.26 : x
  2. Step 2: Convert to fraction form
    13,751.88/20,628.90 = 3,891.26/x
  3. Step 3: Cross multiply
    13,751.88x = 20,628.90 × 3,891.26
  4. Step 4: Simplify right side
    13,751.88x = 80,272,310.27
  5. Step 5: Solve for x
    x = 80,272,310.27/13,751.88
  6. Step 6: Final answer
    x = 5,837.19

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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.