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Finding the Fourth Proportional to 3,288.87, 4,933.17 and 823.64

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Solution

The fourth proportional to 3,288.87, 4,933.17 and 823.64 is: 1,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.87 : 4,933.17 = 823.64 : x
  2. Step 2: Convert to fraction form
    3,288.87/4,933.17 = 823.64/x
  3. Step 3: Cross multiply
    3,288.87x = 4,933.17 × 823.64
  4. Step 4: Simplify right side
    3,288.87x = 4,063,131.47
  5. Step 5: Solve for x
    x = 4,063,131.47/3,288.87
  6. Step 6: Final answer
    x = 1,235.42

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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.