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Finding the Fourth Proportional to 8,359.92, 12,446.69 and 8,243.64

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Solution

The fourth proportional to 8,359.92, 12,446.69 and 8,243.64 is: 12,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.92 : 12,446.69 = 8,243.64 : x
  2. Step 2: Convert to fraction form
    8,359.92/12,446.69 = 8,243.64/x
  3. Step 3: Cross multiply
    8,359.92x = 12,446.69 × 8,243.64
  4. Step 4: Simplify right side
    8,359.92x = 102,605,990.33
  5. Step 5: Solve for x
    x = 102,605,990.33/8,359.92
  6. Step 6: Final answer
    x = 12,273.56

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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.