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Finding the Fourth Proportional to 8,736.97, 13,046.01 and 8,243.64

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Solution

The fourth proportional to 8,736.97, 13,046.01 and 8,243.64 is: 12,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.97 : 13,046.01 = 8,243.64 : x
  2. Step 2: Convert to fraction form
    8,736.97/13,046.01 = 8,243.64/x
  3. Step 3: Cross multiply
    8,736.97x = 13,046.01 × 8,243.64
  4. Step 4: Simplify right side
    8,736.97x = 107,546,609.88
  5. Step 5: Solve for x
    x = 107,546,609.88/8,736.97
  6. Step 6: Final answer
    x = 12,309.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.