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Finding the Fourth Proportional to 5,785.62, 7,981.25 and 3,795.90

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Solution

The fourth proportional to 5,785.62, 7,981.25 and 3,795.90 is: 5,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.62 : 7,981.25 = 3,795.90 : x
  2. Step 2: Convert to fraction form
    5,785.62/7,981.25 = 3,795.90/x
  3. Step 3: Cross multiply
    5,785.62x = 7,981.25 × 3,795.90
  4. Step 4: Simplify right side
    5,785.62x = 30,296,007.90
  5. Step 5: Solve for x
    x = 30,296,007.90/5,785.62
  6. Step 6: Final answer
    x = 5,236.43

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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.