Home / 2,125.74-3,189.81-827.34

Finding the Fourth Proportional to 2,125.74, 3,189.81 and 827.34

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Solution

The fourth proportional to 2,125.74, 3,189.81 and 827.34 is: 1,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.74 : 3,189.81 = 827.34 : x
  2. Step 2: Convert to fraction form
    2,125.74/3,189.81 = 827.34/x
  3. Step 3: Cross multiply
    2,125.74x = 3,189.81 × 827.34
  4. Step 4: Simplify right side
    2,125.74x = 2,639,057.41
  5. Step 5: Solve for x
    x = 2,639,057.41/2,125.74
  6. Step 6: Final answer
    x = 1,241.48

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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.