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Finding the Fourth Proportional to 3,288.52, 4,932.61 and 823.19

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Solution

The fourth proportional to 3,288.52, 4,932.61 and 823.19 is: 1,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.52 : 4,932.61 = 823.19 : x
  2. Step 2: Convert to fraction form
    3,288.52/4,932.61 = 823.19/x
  3. Step 3: Cross multiply
    3,288.52x = 4,932.61 × 823.19
  4. Step 4: Simplify right side
    3,288.52x = 4,060,485.50
  5. Step 5: Solve for x
    x = 4,060,485.50/3,288.52
  6. Step 6: Final answer
    x = 1,234.75

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1.5x scale

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.