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Finding the Fourth Proportional to 2,057.13, 3,085.21 and 824.21

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Solution

The fourth proportional to 2,057.13, 3,085.21 and 824.21 is: 1,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.13 : 3,085.21 = 824.21 : x
  2. Step 2: Convert to fraction form
    2,057.13/3,085.21 = 824.21/x
  3. Step 3: Cross multiply
    2,057.13x = 3,085.21 × 824.21
  4. Step 4: Simplify right side
    2,057.13x = 2,542,860.93
  5. Step 5: Solve for x
    x = 2,542,860.93/2,057.13
  6. Step 6: Final answer
    x = 1,236.12

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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.