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Finding the Fourth Proportional to 3,428.14, 5,142.21 and 1,968.22

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Solution

The fourth proportional to 3,428.14, 5,142.21 and 1,968.22 is: 2,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.14 : 5,142.21 = 1,968.22 : x
  2. Step 2: Convert to fraction form
    3,428.14/5,142.21 = 1,968.22/x
  3. Step 3: Cross multiply
    3,428.14x = 5,142.21 × 1,968.22
  4. Step 4: Simplify right side
    3,428.14x = 10,121,000.57
  5. Step 5: Solve for x
    x = 10,121,000.57/3,428.14
  6. Step 6: Final answer
    x = 2,952.33

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Similar ratio
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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.