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Finding the Fourth Proportional to 8,446.49, 12,665.43 and 2,822.13

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Solution

The fourth proportional to 8,446.49, 12,665.43 and 2,822.13 is: 4,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.49 : 12,665.43 = 2,822.13 : x
  2. Step 2: Convert to fraction form
    8,446.49/12,665.43 = 2,822.13/x
  3. Step 3: Cross multiply
    8,446.49x = 12,665.43 × 2,822.13
  4. Step 4: Simplify right side
    8,446.49x = 35,743,489.97
  5. Step 5: Solve for x
    x = 35,743,489.97/8,446.49
  6. Step 6: Final answer
    x = 4,231.76

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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.