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Finding the Fourth Proportional to 8,538.05, 12,811.04 and 3,608.84

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Solution

The fourth proportional to 8,538.05, 12,811.04 and 3,608.84 is: 5,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.05 : 12,811.04 = 3,608.84 : x
  2. Step 2: Convert to fraction form
    8,538.05/12,811.04 = 3,608.84/x
  3. Step 3: Cross multiply
    8,538.05x = 12,811.04 × 3,608.84
  4. Step 4: Simplify right side
    8,538.05x = 46,233,034.64
  5. Step 5: Solve for x
    x = 46,233,034.64/8,538.05
  6. Step 6: Final answer
    x = 5,414.94

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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.