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Finding the Fourth Proportional to 1,919, 2,879.04 and 823.88

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Solution

The fourth proportional to 1,919, 2,879.04 and 823.88 is: 1,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919 : 2,879.04 = 823.88 : x
  2. Step 2: Convert to fraction form
    1,919/2,879.04 = 823.88/x
  3. Step 3: Cross multiply
    1,919x = 2,879.04 × 823.88
  4. Step 4: Simplify right side
    1,919x = 2,371,983.48
  5. Step 5: Solve for x
    x = 2,371,983.48/1,919
  6. Step 6: Final answer
    x = 1,236.05

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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.