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Finding the Fourth Proportional to 1,979.89, 2,972.92 and 1,892.26

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Solution

The fourth proportional to 1,979.89, 2,972.92 and 1,892.26 is: 2,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.89 : 2,972.92 = 1,892.26 : x
  2. Step 2: Convert to fraction form
    1,979.89/2,972.92 = 1,892.26/x
  3. Step 3: Cross multiply
    1,979.89x = 2,972.92 × 1,892.26
  4. Step 4: Simplify right side
    1,979.89x = 5,625,537.60
  5. Step 5: Solve for x
    x = 5,625,537.60/1,979.89
  6. Step 6: Final answer
    x = 2,841.34

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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.