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Finding the Fourth Proportional to 13,500, 20,259 and 5,186.88

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Solution

The fourth proportional to 13,500, 20,259 and 5,186.88 is: 7,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 20,259 = 5,186.88 : x
  2. Step 2: Convert to fraction form
    13,500/20,259 = 5,186.88/x
  3. Step 3: Cross multiply
    13,500x = 20,259 × 5,186.88
  4. Step 4: Simplify right side
    13,500x = 105,081,001.92
  5. Step 5: Solve for x
    x = 105,081,001.92/13,500
  6. Step 6: Final answer
    x = 7,783.78

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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.