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Finding the Fourth Proportional to 3,289.11, 4,934.49 and 949.06

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Solution

The fourth proportional to 3,289.11, 4,934.49 and 949.06 is: 1,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.11 : 4,934.49 = 949.06 : x
  2. Step 2: Convert to fraction form
    3,289.11/4,934.49 = 949.06/x
  3. Step 3: Cross multiply
    3,289.11x = 4,934.49 × 949.06
  4. Step 4: Simplify right side
    3,289.11x = 4,683,129.69
  5. Step 5: Solve for x
    x = 4,683,129.69/3,289.11
  6. Step 6: Final answer
    x = 1,423.83

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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.