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Finding the Fourth Proportional to 2,663.81, 3,996.14 and 814.77

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Solution

The fourth proportional to 2,663.81, 3,996.14 and 814.77 is: 1,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.81 : 3,996.14 = 814.77 : x
  2. Step 2: Convert to fraction form
    2,663.81/3,996.14 = 814.77/x
  3. Step 3: Cross multiply
    2,663.81x = 3,996.14 × 814.77
  4. Step 4: Simplify right side
    2,663.81x = 3,255,936.53
  5. Step 5: Solve for x
    x = 3,255,936.53/2,663.81
  6. Step 6: Final answer
    x = 1,222.28

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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.