Home / 2,142.07-3,212.34-825.92

Finding the Fourth Proportional to 2,142.07, 3,212.34 and 825.92

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Solution

The fourth proportional to 2,142.07, 3,212.34 and 825.92 is: 1,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.07 : 3,212.34 = 825.92 : x
  2. Step 2: Convert to fraction form
    2,142.07/3,212.34 = 825.92/x
  3. Step 3: Cross multiply
    2,142.07x = 3,212.34 × 825.92
  4. Step 4: Simplify right side
    2,142.07x = 2,653,135.85
  5. Step 5: Solve for x
    x = 2,653,135.85/2,142.07
  6. Step 6: Final answer
    x = 1,238.59

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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.