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Finding the Fourth Proportional to 4,431.08, 6,111.78 and 3,809

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Solution

The fourth proportional to 4,431.08, 6,111.78 and 3,809 is: 5,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431.08 : 6,111.78 = 3,809 : x
  2. Step 2: Convert to fraction form
    4,431.08/6,111.78 = 3,809/x
  3. Step 3: Cross multiply
    4,431.08x = 6,111.78 × 3,809
  4. Step 4: Simplify right side
    4,431.08x = 23,279,770.02
  5. Step 5: Solve for x
    x = 23,279,770.02/4,431.08
  6. Step 6: Final answer
    x = 5,253.75

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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.