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Finding the Fourth Proportional to 1,998.66, 3,001.32 and 1,234.02

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Solution

The fourth proportional to 1,998.66, 3,001.32 and 1,234.02 is: 1,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.66 : 3,001.32 = 1,234.02 : x
  2. Step 2: Convert to fraction form
    1,998.66/3,001.32 = 1,234.02/x
  3. Step 3: Cross multiply
    1,998.66x = 3,001.32 × 1,234.02
  4. Step 4: Simplify right side
    1,998.66x = 3,703,688.91
  5. Step 5: Solve for x
    x = 3,703,688.91/1,998.66
  6. Step 6: Final answer
    x = 1,853.09

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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.