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Finding the Fourth Proportional to 2,663.15, 3,994.55 and 814.28

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Solution

The fourth proportional to 2,663.15, 3,994.55 and 814.28 is: 1,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.15 : 3,994.55 = 814.28 : x
  2. Step 2: Convert to fraction form
    2,663.15/3,994.55 = 814.28/x
  3. Step 3: Cross multiply
    2,663.15x = 3,994.55 × 814.28
  4. Step 4: Simplify right side
    2,663.15x = 3,252,658.13
  5. Step 5: Solve for x
    x = 3,252,658.13/2,663.15
  6. Step 6: Final answer
    x = 1,221.36

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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.