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Finding the Fourth Proportional to 5,200.81, 7,177.01 and 2,843.10

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Solution

The fourth proportional to 5,200.81, 7,177.01 and 2,843.10 is: 3,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.81 : 7,177.01 = 2,843.10 : x
  2. Step 2: Convert to fraction form
    5,200.81/7,177.01 = 2,843.10/x
  3. Step 3: Cross multiply
    5,200.81x = 7,177.01 × 2,843.10
  4. Step 4: Simplify right side
    5,200.81x = 20,404,942.92
  5. Step 5: Solve for x
    x = 20,404,942.92/5,200.81
  6. Step 6: Final answer
    x = 3,923.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.