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Finding the Fourth Proportional to 1,998.36, 2,997.80 and 1,072.65

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Solution

The fourth proportional to 1,998.36, 2,997.80 and 1,072.65 is: 1,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.36 : 2,997.80 = 1,072.65 : x
  2. Step 2: Convert to fraction form
    1,998.36/2,997.80 = 1,072.65/x
  3. Step 3: Cross multiply
    1,998.36x = 2,997.80 × 1,072.65
  4. Step 4: Simplify right side
    1,998.36x = 3,215,594.66
  5. Step 5: Solve for x
    x = 3,215,594.66/1,998.36
  6. Step 6: Final answer
    x = 1,609.11

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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.