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Finding the Fourth Proportional to 8,199.76, 12,299.64 and 5,425.90

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Solution

The fourth proportional to 8,199.76, 12,299.64 and 5,425.90 is: 8,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.76 : 12,299.64 = 5,425.90 : x
  2. Step 2: Convert to fraction form
    8,199.76/12,299.64 = 5,425.90/x
  3. Step 3: Cross multiply
    8,199.76x = 12,299.64 × 5,425.90
  4. Step 4: Simplify right side
    8,199.76x = 66,736,616.68
  5. Step 5: Solve for x
    x = 66,736,616.68/8,199.76
  6. Step 6: Final answer
    x = 8,138.85

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1.5x scale

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.