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Finding the Fourth Proportional to 11,511.92, 17,241.96 and 8,064.56

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Solution

The fourth proportional to 11,511.92, 17,241.96 and 8,064.56 is: 12,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.92 : 17,241.96 = 8,064.56 : x
  2. Step 2: Convert to fraction form
    11,511.92/17,241.96 = 8,064.56/x
  3. Step 3: Cross multiply
    11,511.92x = 17,241.96 × 8,064.56
  4. Step 4: Simplify right side
    11,511.92x = 139,048,820.94
  5. Step 5: Solve for x
    x = 139,048,820.94/11,511.92
  6. Step 6: Final answer
    x = 12,078.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.