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Finding the Fourth Proportional to 3,881.08, 5,353.44 and 2,308

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Solution

The fourth proportional to 3,881.08, 5,353.44 and 2,308 is: 3,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.08 : 5,353.44 = 2,308 : x
  2. Step 2: Convert to fraction form
    3,881.08/5,353.44 = 2,308/x
  3. Step 3: Cross multiply
    3,881.08x = 5,353.44 × 2,308
  4. Step 4: Simplify right side
    3,881.08x = 12,355,739.52
  5. Step 5: Solve for x
    x = 12,355,739.52/3,881.08
  6. Step 6: Final answer
    x = 3,183.58

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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.