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Finding the Fourth Proportional to 2,057.48, 3,086.21 and 518.48

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Solution

The fourth proportional to 2,057.48, 3,086.21 and 518.48 is: 777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.48 : 3,086.21 = 518.48 : x
  2. Step 2: Convert to fraction form
    2,057.48/3,086.21 = 518.48/x
  3. Step 3: Cross multiply
    2,057.48x = 3,086.21 × 518.48
  4. Step 4: Simplify right side
    2,057.48x = 1,600,120.14
  5. Step 5: Solve for x
    x = 1,600,120.14/2,057.48
  6. Step 6: Final answer
    x = 777.71

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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.