Home / 2,057.20-3,083.10-823.60

Finding the Fourth Proportional to 2,057.20, 3,083.10 and 823.60

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Solution

The fourth proportional to 2,057.20, 3,083.10 and 823.60 is: 1,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.20 : 3,083.10 = 823.60 : x
  2. Step 2: Convert to fraction form
    2,057.20/3,083.10 = 823.60/x
  3. Step 3: Cross multiply
    2,057.20x = 3,083.10 × 823.60
  4. Step 4: Simplify right side
    2,057.20x = 2,539,241.16
  5. Step 5: Solve for x
    x = 2,539,241.16/2,057.20
  6. Step 6: Final answer
    x = 1,234.32

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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.