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Finding the Fourth Proportional to 3,289.21, 4,933.79 and 824.02

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Solution

The fourth proportional to 3,289.21, 4,933.79 and 824.02 is: 1,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.21 : 4,933.79 = 824.02 : x
  2. Step 2: Convert to fraction form
    3,289.21/4,933.79 = 824.02/x
  3. Step 3: Cross multiply
    3,289.21x = 4,933.79 × 824.02
  4. Step 4: Simplify right side
    3,289.21x = 4,065,512.85
  5. Step 5: Solve for x
    x = 4,065,512.85/3,289.21
  6. Step 6: Final answer
    x = 1,236.02

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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.