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Finding the Fourth Proportional to 1,976.44, 2,965.26 and 822.28

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Solution

The fourth proportional to 1,976.44, 2,965.26 and 822.28 is: 1,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.44 : 2,965.26 = 822.28 : x
  2. Step 2: Convert to fraction form
    1,976.44/2,965.26 = 822.28/x
  3. Step 3: Cross multiply
    1,976.44x = 2,965.26 × 822.28
  4. Step 4: Simplify right side
    1,976.44x = 2,438,273.99
  5. Step 5: Solve for x
    x = 2,438,273.99/1,976.44
  6. Step 6: Final answer
    x = 1,233.67

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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.