Home / 2,285.36-3,425.97-823.49

Finding the Fourth Proportional to 2,285.36, 3,425.97 and 823.49

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Solution

The fourth proportional to 2,285.36, 3,425.97 and 823.49 is: 1,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.36 : 3,425.97 = 823.49 : x
  2. Step 2: Convert to fraction form
    2,285.36/3,425.97 = 823.49/x
  3. Step 3: Cross multiply
    2,285.36x = 3,425.97 × 823.49
  4. Step 4: Simplify right side
    2,285.36x = 2,821,234.91
  5. Step 5: Solve for x
    x = 2,821,234.91/2,285.36
  6. Step 6: Final answer
    x = 1,234.48

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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.