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Finding the Fourth Proportional to 1,998.20, 2,996.16 and 681.30

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Solution

The fourth proportional to 1,998.20, 2,996.16 and 681.30 is: 1,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.20 : 2,996.16 = 681.30 : x
  2. Step 2: Convert to fraction form
    1,998.20/2,996.16 = 681.30/x
  3. Step 3: Cross multiply
    1,998.20x = 2,996.16 × 681.30
  4. Step 4: Simplify right side
    1,998.20x = 2,041,283.81
  5. Step 5: Solve for x
    x = 2,041,283.81/1,998.20
  6. Step 6: Final answer
    x = 1,021.56

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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.