Home / 2,057.24-3,085.78-518.20

Finding the Fourth Proportional to 2,057.24, 3,085.78 and 518.20

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Solution

The fourth proportional to 2,057.24, 3,085.78 and 518.20 is: 777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.24 : 3,085.78 = 518.20 : x
  2. Step 2: Convert to fraction form
    2,057.24/3,085.78 = 518.20/x
  3. Step 3: Cross multiply
    2,057.24x = 3,085.78 × 518.20
  4. Step 4: Simplify right side
    2,057.24x = 1,599,051.20
  5. Step 5: Solve for x
    x = 1,599,051.20/2,057.24
  6. Step 6: Final answer
    x = 777.28

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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.