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Finding the Fourth Proportional to 3,289.20, 4,934.49 and 949.20

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Solution

The fourth proportional to 3,289.20, 4,934.49 and 949.20 is: 1,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.20 : 4,934.49 = 949.20 : x
  2. Step 2: Convert to fraction form
    3,289.20/4,934.49 = 949.20/x
  3. Step 3: Cross multiply
    3,289.20x = 4,934.49 × 949.20
  4. Step 4: Simplify right side
    3,289.20x = 4,683,817.91
  5. Step 5: Solve for x
    x = 4,683,817.91/3,289.20
  6. Step 6: Final answer
    x = 1,424.00

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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.