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Finding the Fourth Proportional to 2,057.12, 3,085.44 and 518

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Solution

The fourth proportional to 2,057.12, 3,085.44 and 518 is: 776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.12 : 3,085.44 = 518 : x
  2. Step 2: Convert to fraction form
    2,057.12/3,085.44 = 518/x
  3. Step 3: Cross multiply
    2,057.12x = 3,085.44 × 518
  4. Step 4: Simplify right side
    2,057.12x = 1,598,257.92
  5. Step 5: Solve for x
    x = 1,598,257.92/2,057.12
  6. Step 6: Final answer
    x = 776.94

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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.