Home / 2,212.43-3,319.15-825.77

Finding the Fourth Proportional to 2,212.43, 3,319.15 and 825.77

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Solution

The fourth proportional to 2,212.43, 3,319.15 and 825.77 is: 1,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.43 : 3,319.15 = 825.77 : x
  2. Step 2: Convert to fraction form
    2,212.43/3,319.15 = 825.77/x
  3. Step 3: Cross multiply
    2,212.43x = 3,319.15 × 825.77
  4. Step 4: Simplify right side
    2,212.43x = 2,740,835.84
  5. Step 5: Solve for x
    x = 2,740,835.84/2,212.43
  6. Step 6: Final answer
    x = 1,238.84

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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.