Home / 10,221.82-15,331.21-2,824.70

Finding the Fourth Proportional to 10,221.82, 15,331.21 and 2,824.70

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Solution

The fourth proportional to 10,221.82, 15,331.21 and 2,824.70 is: 4,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.82 : 15,331.21 = 2,824.70 : x
  2. Step 2: Convert to fraction form
    10,221.82/15,331.21 = 2,824.70/x
  3. Step 3: Cross multiply
    10,221.82x = 15,331.21 × 2,824.70
  4. Step 4: Simplify right side
    10,221.82x = 43,305,985.17
  5. Step 5: Solve for x
    x = 43,305,985.17/10,221.82
  6. Step 6: Final answer
    x = 4,236.62

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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.