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Finding the Fourth Proportional to 13,751.57, 20,628.19 and 3,891.60

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Solution

The fourth proportional to 13,751.57, 20,628.19 and 3,891.60 is: 5,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.57 : 20,628.19 = 3,891.60 : x
  2. Step 2: Convert to fraction form
    13,751.57/20,628.19 = 3,891.60/x
  3. Step 3: Cross multiply
    13,751.57x = 20,628.19 × 3,891.60
  4. Step 4: Simplify right side
    13,751.57x = 80,276,664.20
  5. Step 5: Solve for x
    x = 80,276,664.20/13,751.57
  6. Step 6: Final answer
    x = 5,837.64

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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.