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Finding the Fourth Proportional to 1,976, 2,964 and 821.78

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Solution

The fourth proportional to 1,976, 2,964 and 821.78 is: 1,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976 : 2,964 = 821.78 : x
  2. Step 2: Convert to fraction form
    1,976/2,964 = 821.78/x
  3. Step 3: Cross multiply
    1,976x = 2,964 × 821.78
  4. Step 4: Simplify right side
    1,976x = 2,435,755.92
  5. Step 5: Solve for x
    x = 2,435,755.92/1,976
  6. Step 6: Final answer
    x = 1,232.67

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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.