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Finding the Fourth Proportional to 13,508, 20,271 and 5,194.88

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Solution

The fourth proportional to 13,508, 20,271 and 5,194.88 is: 7,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508 : 20,271 = 5,194.88 : x
  2. Step 2: Convert to fraction form
    13,508/20,271 = 5,194.88/x
  3. Step 3: Cross multiply
    13,508x = 20,271 × 5,194.88
  4. Step 4: Simplify right side
    13,508x = 105,305,412.48
  5. Step 5: Solve for x
    x = 105,305,412.48/13,508
  6. Step 6: Final answer
    x = 7,795.78

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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.