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Finding the Fourth Proportional to 2,662.66, 3,994.60 and 814.04

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Solution

The fourth proportional to 2,662.66, 3,994.60 and 814.04 is: 1,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.66 : 3,994.60 = 814.04 : x
  2. Step 2: Convert to fraction form
    2,662.66/3,994.60 = 814.04/x
  3. Step 3: Cross multiply
    2,662.66x = 3,994.60 × 814.04
  4. Step 4: Simplify right side
    2,662.66x = 3,251,764.18
  5. Step 5: Solve for x
    x = 3,251,764.18/2,662.66
  6. Step 6: Final answer
    x = 1,221.25

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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.