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Finding the Fourth Proportional to 1,942.15, 2,911.75 and 968.94

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Solution

The fourth proportional to 1,942.15, 2,911.75 and 968.94 is: 1,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.15 : 2,911.75 = 968.94 : x
  2. Step 2: Convert to fraction form
    1,942.15/2,911.75 = 968.94/x
  3. Step 3: Cross multiply
    1,942.15x = 2,911.75 × 968.94
  4. Step 4: Simplify right side
    1,942.15x = 2,821,311.05
  5. Step 5: Solve for x
    x = 2,821,311.05/1,942.15
  6. Step 6: Final answer
    x = 1,452.67

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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.