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Finding the Fourth Proportional to 3,288.54, 4,932.77 and 979.86

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Solution

The fourth proportional to 3,288.54, 4,932.77 and 979.86 is: 1,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.54 : 4,932.77 = 979.86 : x
  2. Step 2: Convert to fraction form
    3,288.54/4,932.77 = 979.86/x
  3. Step 3: Cross multiply
    3,288.54x = 4,932.77 × 979.86
  4. Step 4: Simplify right side
    3,288.54x = 4,833,424.01
  5. Step 5: Solve for x
    x = 4,833,424.01/3,288.54
  6. Step 6: Final answer
    x = 1,469.78

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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.