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Finding the Fourth Proportional to 5,230.82, 7,212.07 and 3,738.20

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Solution

The fourth proportional to 5,230.82, 7,212.07 and 3,738.20 is: 5,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.82 : 7,212.07 = 3,738.20 : x
  2. Step 2: Convert to fraction form
    5,230.82/7,212.07 = 3,738.20/x
  3. Step 3: Cross multiply
    5,230.82x = 7,212.07 × 3,738.20
  4. Step 4: Simplify right side
    5,230.82x = 26,960,128.69
  5. Step 5: Solve for x
    x = 26,960,128.69/5,230.82
  6. Step 6: Final answer
    x = 5,154.09

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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.