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Finding the Fourth Proportional to 2,789.16, 4,183.64 and 940.24

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Solution

The fourth proportional to 2,789.16, 4,183.64 and 940.24 is: 1,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.16 : 4,183.64 = 940.24 : x
  2. Step 2: Convert to fraction form
    2,789.16/4,183.64 = 940.24/x
  3. Step 3: Cross multiply
    2,789.16x = 4,183.64 × 940.24
  4. Step 4: Simplify right side
    2,789.16x = 3,933,625.67
  5. Step 5: Solve for x
    x = 3,933,625.67/2,789.16
  6. Step 6: Final answer
    x = 1,410.33

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1.5x scale

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.