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Finding the Fourth Proportional to 3,289.28, 4,933.73 and 823.95

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Solution

The fourth proportional to 3,289.28, 4,933.73 and 823.95 is: 1,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.28 : 4,933.73 = 823.95 : x
  2. Step 2: Convert to fraction form
    3,289.28/4,933.73 = 823.95/x
  3. Step 3: Cross multiply
    3,289.28x = 4,933.73 × 823.95
  4. Step 4: Simplify right side
    3,289.28x = 4,065,142.71
  5. Step 5: Solve for x
    x = 4,065,142.71/3,289.28
  6. Step 6: Final answer
    x = 1,235.88

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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.