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Finding the Fourth Proportional to 3,288.52, 4,932.78 and 979.84

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Solution

The fourth proportional to 3,288.52, 4,932.78 and 979.84 is: 1,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.52 : 4,932.78 = 979.84 : x
  2. Step 2: Convert to fraction form
    3,288.52/4,932.78 = 979.84/x
  3. Step 3: Cross multiply
    3,288.52x = 4,932.78 × 979.84
  4. Step 4: Simplify right side
    3,288.52x = 4,833,335.16
  5. Step 5: Solve for x
    x = 4,833,335.16/3,288.52
  6. Step 6: Final answer
    x = 1,469.76

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Similar ratio
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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.