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Finding the Fourth Proportional to 8,676.92, 11,972.34 and 5,491.19

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Solution

The fourth proportional to 8,676.92, 11,972.34 and 5,491.19 is: 7,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.92 : 11,972.34 = 5,491.19 : x
  2. Step 2: Convert to fraction form
    8,676.92/11,972.34 = 5,491.19/x
  3. Step 3: Cross multiply
    8,676.92x = 11,972.34 × 5,491.19
  4. Step 4: Simplify right side
    8,676.92x = 65,742,423.62
  5. Step 5: Solve for x
    x = 65,742,423.62/8,676.92
  6. Step 6: Final answer
    x = 7,576.70

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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.