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Finding the Fourth Proportional to 8,198.89, 12,302.89 and 5,080.59

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Solution

The fourth proportional to 8,198.89, 12,302.89 and 5,080.59 is: 7,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.89 : 12,302.89 = 5,080.59 : x
  2. Step 2: Convert to fraction form
    8,198.89/12,302.89 = 5,080.59/x
  3. Step 3: Cross multiply
    8,198.89x = 12,302.89 × 5,080.59
  4. Step 4: Simplify right side
    8,198.89x = 62,505,927.20
  5. Step 5: Solve for x
    x = 62,505,927.20/8,198.89
  6. Step 6: Final answer
    x = 7,623.71

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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.