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Finding the Fourth Proportional to 2,663.78, 3,996.12 and 814.70

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Solution

The fourth proportional to 2,663.78, 3,996.12 and 814.70 is: 1,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.78 : 3,996.12 = 814.70 : x
  2. Step 2: Convert to fraction form
    2,663.78/3,996.12 = 814.70/x
  3. Step 3: Cross multiply
    2,663.78x = 3,996.12 × 814.70
  4. Step 4: Simplify right side
    2,663.78x = 3,255,648.95
  5. Step 5: Solve for x
    x = 3,255,648.95/2,663.78
  6. Step 6: Final answer
    x = 1,222.19

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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.