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Finding the Fourth Proportional to 2,633.99, 3,951.41 and 990.66

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Solution

The fourth proportional to 2,633.99, 3,951.41 and 990.66 is: 1,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.99 : 3,951.41 = 990.66 : x
  2. Step 2: Convert to fraction form
    2,633.99/3,951.41 = 990.66/x
  3. Step 3: Cross multiply
    2,633.99x = 3,951.41 × 990.66
  4. Step 4: Simplify right side
    2,633.99x = 3,914,498.88
  5. Step 5: Solve for x
    x = 3,914,498.88/2,633.99
  6. Step 6: Final answer
    x = 1,486.15

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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.