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Finding the Fourth Proportional to 2,200.55, 3,301.89 and 967.80

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Solution

The fourth proportional to 2,200.55, 3,301.89 and 967.80 is: 1,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.55 : 3,301.89 = 967.80 : x
  2. Step 2: Convert to fraction form
    2,200.55/3,301.89 = 967.80/x
  3. Step 3: Cross multiply
    2,200.55x = 3,301.89 × 967.80
  4. Step 4: Simplify right side
    2,200.55x = 3,195,560.39
  5. Step 5: Solve for x
    x = 3,195,560.39/2,200.55
  6. Step 6: Final answer
    x = 1,452.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.