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Finding the Fourth Proportional to 7,819.97, 11,727.87 and 3,657.84

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Solution

The fourth proportional to 7,819.97, 11,727.87 and 3,657.84 is: 5,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.97 : 11,727.87 = 3,657.84 : x
  2. Step 2: Convert to fraction form
    7,819.97/11,727.87 = 3,657.84/x
  3. Step 3: Cross multiply
    7,819.97x = 11,727.87 × 3,657.84
  4. Step 4: Simplify right side
    7,819.97x = 42,898,672.00
  5. Step 5: Solve for x
    x = 42,898,672.00/7,819.97
  6. Step 6: Final answer
    x = 5,485.79

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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.