Home / 2,213.69-3,321.75-827.99

Finding the Fourth Proportional to 2,213.69, 3,321.75 and 827.99

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Solution

The fourth proportional to 2,213.69, 3,321.75 and 827.99 is: 1,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.69 : 3,321.75 = 827.99 : x
  2. Step 2: Convert to fraction form
    2,213.69/3,321.75 = 827.99/x
  3. Step 3: Cross multiply
    2,213.69x = 3,321.75 × 827.99
  4. Step 4: Simplify right side
    2,213.69x = 2,750,359.17
  5. Step 5: Solve for x
    x = 2,750,359.17/2,213.69
  6. Step 6: Final answer
    x = 1,242.43

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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.