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Finding the Fourth Proportional to 8,199.55, 12,291.76 and 3,268

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Solution

The fourth proportional to 8,199.55, 12,291.76 and 3,268 is: 4,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.55 : 12,291.76 = 3,268 : x
  2. Step 2: Convert to fraction form
    8,199.55/12,291.76 = 3,268/x
  3. Step 3: Cross multiply
    8,199.55x = 12,291.76 × 3,268
  4. Step 4: Simplify right side
    8,199.55x = 40,169,471.68
  5. Step 5: Solve for x
    x = 40,169,471.68/8,199.55
  6. Step 6: Final answer
    x = 4,898.98

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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.