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Finding the Fourth Proportional to 1,581.24, 2,181.74 and 960.12

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Solution

The fourth proportional to 1,581.24, 2,181.74 and 960.12 is: 1,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.24 : 2,181.74 = 960.12 : x
  2. Step 2: Convert to fraction form
    1,581.24/2,181.74 = 960.12/x
  3. Step 3: Cross multiply
    1,581.24x = 2,181.74 × 960.12
  4. Step 4: Simplify right side
    1,581.24x = 2,094,732.21
  5. Step 5: Solve for x
    x = 2,094,732.21/1,581.24
  6. Step 6: Final answer
    x = 1,324.74

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Half 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.