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Finding the Fourth Proportional to 3,288.31, 4,933.28 and 979.81

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Solution

The fourth proportional to 3,288.31, 4,933.28 and 979.81 is: 1,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.31 : 4,933.28 = 979.81 : x
  2. Step 2: Convert to fraction form
    3,288.31/4,933.28 = 979.81/x
  3. Step 3: Cross multiply
    3,288.31x = 4,933.28 × 979.81
  4. Step 4: Simplify right side
    3,288.31x = 4,833,677.08
  5. Step 5: Solve for x
    x = 4,833,677.08/3,288.31
  6. Step 6: Final answer
    x = 1,469.96

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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.