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Finding the Fourth Proportional to 1,939.21, 2,909.48 and 844.29

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Solution

The fourth proportional to 1,939.21, 2,909.48 and 844.29 is: 1,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.21 : 2,909.48 = 844.29 : x
  2. Step 2: Convert to fraction form
    1,939.21/2,909.48 = 844.29/x
  3. Step 3: Cross multiply
    1,939.21x = 2,909.48 × 844.29
  4. Step 4: Simplify right side
    1,939.21x = 2,456,451.56
  5. Step 5: Solve for x
    x = 2,456,451.56/1,939.21
  6. Step 6: Final answer
    x = 1,266.73

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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.