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Finding the Fourth Proportional to 7,591.34, 11,383.66 and 3,431.18

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Solution

The fourth proportional to 7,591.34, 11,383.66 and 3,431.18 is: 5,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.34 : 11,383.66 = 3,431.18 : x
  2. Step 2: Convert to fraction form
    7,591.34/11,383.66 = 3,431.18/x
  3. Step 3: Cross multiply
    7,591.34x = 11,383.66 × 3,431.18
  4. Step 4: Simplify right side
    7,591.34x = 39,059,419.27
  5. Step 5: Solve for x
    x = 39,059,419.27/7,591.34
  6. Step 6: Final answer
    x = 5,145.26

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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.