Home / 2,072.25-3,108.41-823.16

Finding the Fourth Proportional to 2,072.25, 3,108.41 and 823.16

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Solution

The fourth proportional to 2,072.25, 3,108.41 and 823.16 is: 1,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.25 : 3,108.41 = 823.16 : x
  2. Step 2: Convert to fraction form
    2,072.25/3,108.41 = 823.16/x
  3. Step 3: Cross multiply
    2,072.25x = 3,108.41 × 823.16
  4. Step 4: Simplify right side
    2,072.25x = 2,558,699.12
  5. Step 5: Solve for x
    x = 2,558,699.12/2,072.25
  6. Step 6: Final answer
    x = 1,234.74

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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.