Home / 2,285.29-3,425.86-823.41

Finding the Fourth Proportional to 2,285.29, 3,425.86 and 823.41

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Solution

The fourth proportional to 2,285.29, 3,425.86 and 823.41 is: 1,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.29 : 3,425.86 = 823.41 : x
  2. Step 2: Convert to fraction form
    2,285.29/3,425.86 = 823.41/x
  3. Step 3: Cross multiply
    2,285.29x = 3,425.86 × 823.41
  4. Step 4: Simplify right side
    2,285.29x = 2,820,885.32
  5. Step 5: Solve for x
    x = 2,820,885.32/2,285.29
  6. Step 6: Final answer
    x = 1,234.37

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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.