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Finding the Fourth Proportional to 3,428.53, 5,143.07 and 1,696.75

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Solution

The fourth proportional to 3,428.53, 5,143.07 and 1,696.75 is: 2,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.53 : 5,143.07 = 1,696.75 : x
  2. Step 2: Convert to fraction form
    3,428.53/5,143.07 = 1,696.75/x
  3. Step 3: Cross multiply
    3,428.53x = 5,143.07 × 1,696.75
  4. Step 4: Simplify right side
    3,428.53x = 8,726,504.02
  5. Step 5: Solve for x
    x = 8,726,504.02/3,428.53
  6. Step 6: Final answer
    x = 2,545.26

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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.