Home / 2,284.24-3,425.64-823.20

Finding the Fourth Proportional to 2,284.24, 3,425.64 and 823.20

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Solution

The fourth proportional to 2,284.24, 3,425.64 and 823.20 is: 1,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.24 : 3,425.64 = 823.20 : x
  2. Step 2: Convert to fraction form
    2,284.24/3,425.64 = 823.20/x
  3. Step 3: Cross multiply
    2,284.24x = 3,425.64 × 823.20
  4. Step 4: Simplify right side
    2,284.24x = 2,819,986.85
  5. Step 5: Solve for x
    x = 2,819,986.85/2,284.24
  6. Step 6: Final answer
    x = 1,234.54

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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.