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Finding the Fourth Proportional to 2,057.25, 3,085.88 and 518.25

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Solution

The fourth proportional to 2,057.25, 3,085.88 and 518.25 is: 777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.25 : 3,085.88 = 518.25 : x
  2. Step 2: Convert to fraction form
    2,057.25/3,085.88 = 518.25/x
  3. Step 3: Cross multiply
    2,057.25x = 3,085.88 × 518.25
  4. Step 4: Simplify right side
    2,057.25x = 1,599,254.72
  5. Step 5: Solve for x
    x = 1,599,254.72/2,057.25
  6. Step 6: Final answer
    x = 777.38

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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.