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Finding the Fourth Proportional to 8,446.64, 12,669.80 and 2,206.16

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Solution

The fourth proportional to 8,446.64, 12,669.80 and 2,206.16 is: 3,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.64 : 12,669.80 = 2,206.16 : x
  2. Step 2: Convert to fraction form
    8,446.64/12,669.80 = 2,206.16/x
  3. Step 3: Cross multiply
    8,446.64x = 12,669.80 × 2,206.16
  4. Step 4: Simplify right side
    8,446.64x = 27,951,605.97
  5. Step 5: Solve for x
    x = 27,951,605.97/8,446.64
  6. Step 6: Final answer
    x = 3,309.20

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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.