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Finding the Fourth Proportional to 6,383.80, 9,576.66 and 3,262.12

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Solution

The fourth proportional to 6,383.80, 9,576.66 and 3,262.12 is: 4,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.80 : 9,576.66 = 3,262.12 : x
  2. Step 2: Convert to fraction form
    6,383.80/9,576.66 = 3,262.12/x
  3. Step 3: Cross multiply
    6,383.80x = 9,576.66 × 3,262.12
  4. Step 4: Simplify right side
    6,383.80x = 31,240,214.12
  5. Step 5: Solve for x
    x = 31,240,214.12/6,383.80
  6. Step 6: Final answer
    x = 4,893.67

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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.