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Finding the Fourth Proportional to 3,288.05, 4,932.07 and 822.87

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Solution

The fourth proportional to 3,288.05, 4,932.07 and 822.87 is: 1,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.05 : 4,932.07 = 822.87 : x
  2. Step 2: Convert to fraction form
    3,288.05/4,932.07 = 822.87/x
  3. Step 3: Cross multiply
    3,288.05x = 4,932.07 × 822.87
  4. Step 4: Simplify right side
    3,288.05x = 4,058,441.14
  5. Step 5: Solve for x
    x = 4,058,441.14/3,288.05
  6. Step 6: Final answer
    x = 1,234.30

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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.