Home / 1,917.11-2,873.25-820.19

Finding the Fourth Proportional to 1,917.11, 2,873.25 and 820.19

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Solution

The fourth proportional to 1,917.11, 2,873.25 and 820.19 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.11 : 2,873.25 = 820.19 : x
  2. Step 2: Convert to fraction form
    1,917.11/2,873.25 = 820.19/x
  3. Step 3: Cross multiply
    1,917.11x = 2,873.25 × 820.19
  4. Step 4: Simplify right side
    1,917.11x = 2,356,596.55
  5. Step 5: Solve for x
    x = 2,356,596.55/1,917.11
  6. Step 6: Final answer
    x = 1,229.25

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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.