Home / 2,210.17-3,314.31-823.27

Finding the Fourth Proportional to 2,210.17, 3,314.31 and 823.27

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Solution

The fourth proportional to 2,210.17, 3,314.31 and 823.27 is: 1,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.17 : 3,314.31 = 823.27 : x
  2. Step 2: Convert to fraction form
    2,210.17/3,314.31 = 823.27/x
  3. Step 3: Cross multiply
    2,210.17x = 3,314.31 × 823.27
  4. Step 4: Simplify right side
    2,210.17x = 2,728,571.99
  5. Step 5: Solve for x
    x = 2,728,571.99/2,210.17
  6. Step 6: Final answer
    x = 1,234.55

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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.