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Finding the Fourth Proportional to 3,299.28, 4,949.64 and 959.31

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Solution

The fourth proportional to 3,299.28, 4,949.64 and 959.31 is: 1,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.28 : 4,949.64 = 959.31 : x
  2. Step 2: Convert to fraction form
    3,299.28/4,949.64 = 959.31/x
  3. Step 3: Cross multiply
    3,299.28x = 4,949.64 × 959.31
  4. Step 4: Simplify right side
    3,299.28x = 4,748,239.15
  5. Step 5: Solve for x
    x = 4,748,239.15/3,299.28
  6. Step 6: Final answer
    x = 1,439.17

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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.