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Finding the Fourth Proportional to 5,223.25, 7,208.09 and 2,865.43

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Solution

The fourth proportional to 5,223.25, 7,208.09 and 2,865.43 is: 3,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.25 : 7,208.09 = 2,865.43 : x
  2. Step 2: Convert to fraction form
    5,223.25/7,208.09 = 2,865.43/x
  3. Step 3: Cross multiply
    5,223.25x = 7,208.09 × 2,865.43
  4. Step 4: Simplify right side
    5,223.25x = 20,654,277.33
  5. Step 5: Solve for x
    x = 20,654,277.33/5,223.25
  6. Step 6: Final answer
    x = 3,954.30

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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.