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Finding the Fourth Proportional to 5,742.75, 7,922.97 and 3,754.47

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Solution

The fourth proportional to 5,742.75, 7,922.97 and 3,754.47 is: 5,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.75 : 7,922.97 = 3,754.47 : x
  2. Step 2: Convert to fraction form
    5,742.75/7,922.97 = 3,754.47/x
  3. Step 3: Cross multiply
    5,742.75x = 7,922.97 × 3,754.47
  4. Step 4: Simplify right side
    5,742.75x = 29,746,553.18
  5. Step 5: Solve for x
    x = 29,746,553.18/5,742.75
  6. Step 6: Final answer
    x = 5,179.84

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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.