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Finding the Fourth Proportional to 2,202, 3,301.78 and 968.78

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Solution

The fourth proportional to 2,202, 3,301.78 and 968.78 is: 1,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 3,301.78 = 968.78 : x
  2. Step 2: Convert to fraction form
    2,202/3,301.78 = 968.78/x
  3. Step 3: Cross multiply
    2,202x = 3,301.78 × 968.78
  4. Step 4: Simplify right side
    2,202x = 3,198,698.43
  5. Step 5: Solve for x
    x = 3,198,698.43/2,202
  6. Step 6: Final answer
    x = 1,452.63

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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.