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Finding the Fourth Proportional to 2,821.28, 4,231.86 and 769.28

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Solution

The fourth proportional to 2,821.28, 4,231.86 and 769.28 is: 1,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.28 : 4,231.86 = 769.28 : x
  2. Step 2: Convert to fraction form
    2,821.28/4,231.86 = 769.28/x
  3. Step 3: Cross multiply
    2,821.28x = 4,231.86 × 769.28
  4. Step 4: Simplify right side
    2,821.28x = 3,255,485.26
  5. Step 5: Solve for x
    x = 3,255,485.26/2,821.28
  6. Step 6: Final answer
    x = 1,153.90

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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.