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Finding the Fourth Proportional to 1,974.11, 2,962.49 and 819.86

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Solution

The fourth proportional to 1,974.11, 2,962.49 and 819.86 is: 1,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.11 : 2,962.49 = 819.86 : x
  2. Step 2: Convert to fraction form
    1,974.11/2,962.49 = 819.86/x
  3. Step 3: Cross multiply
    1,974.11x = 2,962.49 × 819.86
  4. Step 4: Simplify right side
    1,974.11x = 2,428,808.14
  5. Step 5: Solve for x
    x = 2,428,808.14/1,974.11
  6. Step 6: Final answer
    x = 1,230.33

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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.