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Finding the Fourth Proportional to 8,210.80, 12,314.96 and 2,664.64

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Solution

The fourth proportional to 8,210.80, 12,314.96 and 2,664.64 is: 3,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.80 : 12,314.96 = 2,664.64 : x
  2. Step 2: Convert to fraction form
    8,210.80/12,314.96 = 2,664.64/x
  3. Step 3: Cross multiply
    8,210.80x = 12,314.96 × 2,664.64
  4. Step 4: Simplify right side
    8,210.80x = 32,814,935.01
  5. Step 5: Solve for x
    x = 32,814,935.01/8,210.80
  6. Step 6: Final answer
    x = 3,996.56

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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.