Home / 2,213.21-3,317.84-825.48

Finding the Fourth Proportional to 2,213.21, 3,317.84 and 825.48

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Solution

The fourth proportional to 2,213.21, 3,317.84 and 825.48 is: 1,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.21 : 3,317.84 = 825.48 : x
  2. Step 2: Convert to fraction form
    2,213.21/3,317.84 = 825.48/x
  3. Step 3: Cross multiply
    2,213.21x = 3,317.84 × 825.48
  4. Step 4: Simplify right side
    2,213.21x = 2,738,810.56
  5. Step 5: Solve for x
    x = 2,738,810.56/2,213.21
  6. Step 6: Final answer
    x = 1,237.48

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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.