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Finding the Fourth Proportional to 2,663.98, 3,996.45 and 1,203.82

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Solution

The fourth proportional to 2,663.98, 3,996.45 and 1,203.82 is: 1,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.98 : 3,996.45 = 1,203.82 : x
  2. Step 2: Convert to fraction form
    2,663.98/3,996.45 = 1,203.82/x
  3. Step 3: Cross multiply
    2,663.98x = 3,996.45 × 1,203.82
  4. Step 4: Simplify right side
    2,663.98x = 4,811,006.44
  5. Step 5: Solve for x
    x = 4,811,006.44/2,663.98
  6. Step 6: Final answer
    x = 1,805.95

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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.