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Finding the Fourth Proportional to 1,581.97, 2,183.13 and 919.21

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Solution

The fourth proportional to 1,581.97, 2,183.13 and 919.21 is: 1,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.97 : 2,183.13 = 919.21 : x
  2. Step 2: Convert to fraction form
    1,581.97/2,183.13 = 919.21/x
  3. Step 3: Cross multiply
    1,581.97x = 2,183.13 × 919.21
  4. Step 4: Simplify right side
    1,581.97x = 2,006,750.33
  5. Step 5: Solve for x
    x = 2,006,750.33/1,581.97
  6. Step 6: Final answer
    x = 1,268.51

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Double scale
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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.