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Finding the Fourth Proportional to 2,081.92, 2,873.04 and 1,150.42

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Solution

The fourth proportional to 2,081.92, 2,873.04 and 1,150.42 is: 1,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.92 : 2,873.04 = 1,150.42 : x
  2. Step 2: Convert to fraction form
    2,081.92/2,873.04 = 1,150.42/x
  3. Step 3: Cross multiply
    2,081.92x = 2,873.04 × 1,150.42
  4. Step 4: Simplify right side
    2,081.92x = 3,305,202.68
  5. Step 5: Solve for x
    x = 3,305,202.68/2,081.92
  6. Step 6: Final answer
    x = 1,587.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.