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Finding the Fourth Proportional to 3,289.69, 4,933.80 and 949.17

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Solution

The fourth proportional to 3,289.69, 4,933.80 and 949.17 is: 1,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.69 : 4,933.80 = 949.17 : x
  2. Step 2: Convert to fraction form
    3,289.69/4,933.80 = 949.17/x
  3. Step 3: Cross multiply
    3,289.69x = 4,933.80 × 949.17
  4. Step 4: Simplify right side
    3,289.69x = 4,683,014.95
  5. Step 5: Solve for x
    x = 4,683,014.95/3,289.69
  6. Step 6: Final answer
    x = 1,423.54

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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.