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Finding the Fourth Proportional to 11,905.92, 17,845.92 and 8,964

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Solution

The fourth proportional to 11,905.92, 17,845.92 and 8,964 is: 13,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.92 : 17,845.92 = 8,964 : x
  2. Step 2: Convert to fraction form
    11,905.92/17,845.92 = 8,964/x
  3. Step 3: Cross multiply
    11,905.92x = 17,845.92 × 8,964
  4. Step 4: Simplify right side
    11,905.92x = 159,970,826.88
  5. Step 5: Solve for x
    x = 159,970,826.88/11,905.92
  6. Step 6: Final answer
    x = 13,436.24

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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.