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Finding the Fourth Proportional to 1,999.13, 2,996.46 and 681.65

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Solution

The fourth proportional to 1,999.13, 2,996.46 and 681.65 is: 1,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.13 : 2,996.46 = 681.65 : x
  2. Step 2: Convert to fraction form
    1,999.13/2,996.46 = 681.65/x
  3. Step 3: Cross multiply
    1,999.13x = 2,996.46 × 681.65
  4. Step 4: Simplify right side
    1,999.13x = 2,042,542.98
  5. Step 5: Solve for x
    x = 2,042,542.98/1,999.13
  6. Step 6: Final answer
    x = 1,021.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.