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Finding the Fourth Proportional to 5,748.49, 8,620.78 and 2,238.22

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Solution

The fourth proportional to 5,748.49, 8,620.78 and 2,238.22 is: 3,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.49 : 8,620.78 = 2,238.22 : x
  2. Step 2: Convert to fraction form
    5,748.49/8,620.78 = 2,238.22/x
  3. Step 3: Cross multiply
    5,748.49x = 8,620.78 × 2,238.22
  4. Step 4: Simplify right side
    5,748.49x = 19,295,202.21
  5. Step 5: Solve for x
    x = 19,295,202.21/5,748.49
  6. Step 6: Final answer
    x = 3,356.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.