Home / 1,919.38-2,876.73-821.43

Finding the Fourth Proportional to 1,919.38, 2,876.73 and 821.43

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Solution

The fourth proportional to 1,919.38, 2,876.73 and 821.43 is: 1,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.38 : 2,876.73 = 821.43 : x
  2. Step 2: Convert to fraction form
    1,919.38/2,876.73 = 821.43/x
  3. Step 3: Cross multiply
    1,919.38x = 2,876.73 × 821.43
  4. Step 4: Simplify right side
    1,919.38x = 2,363,032.32
  5. Step 5: Solve for x
    x = 2,363,032.32/1,919.38
  6. Step 6: Final answer
    x = 1,231.14

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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.