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Finding the Fourth Proportional to 3,400, 5,100 and 968

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Solution

The fourth proportional to 3,400, 5,100 and 968 is: 1,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400 : 5,100 = 968 : x
  2. Step 2: Convert to fraction form
    3,400/5,100 = 968/x
  3. Step 3: Cross multiply
    3,400x = 5,100 × 968
  4. Step 4: Simplify right side
    3,400x = 4,936,800
  5. Step 5: Solve for x
    x = 4,936,800/3,400
  6. Step 6: Final answer
    x = 1,452

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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.