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Finding the Fourth Proportional to 8,209.05, 12,293.91 and 5,981.91

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Solution

The fourth proportional to 8,209.05, 12,293.91 and 5,981.91 is: 8,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.05 : 12,293.91 = 5,981.91 : x
  2. Step 2: Convert to fraction form
    8,209.05/12,293.91 = 5,981.91/x
  3. Step 3: Cross multiply
    8,209.05x = 12,293.91 × 5,981.91
  4. Step 4: Simplify right side
    8,209.05x = 73,541,063.17
  5. Step 5: Solve for x
    x = 73,541,063.17/8,209.05
  6. Step 6: Final answer
    x = 8,958.54

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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.