Home / 2,214.39-3,322.80-827.67

Finding the Fourth Proportional to 2,214.39, 3,322.80 and 827.67

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Solution

The fourth proportional to 2,214.39, 3,322.80 and 827.67 is: 1,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.39 : 3,322.80 = 827.67 : x
  2. Step 2: Convert to fraction form
    2,214.39/3,322.80 = 827.67/x
  3. Step 3: Cross multiply
    2,214.39x = 3,322.80 × 827.67
  4. Step 4: Simplify right side
    2,214.39x = 2,750,181.88
  5. Step 5: Solve for x
    x = 2,750,181.88/2,214.39
  6. Step 6: Final answer
    x = 1,241.96

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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.