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Finding the Fourth Proportional to 11,784.96, 17,660.16 and 8,328.96

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Solution

The fourth proportional to 11,784.96, 17,660.16 and 8,328.96 is: 12,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.96 : 17,660.16 = 8,328.96 : x
  2. Step 2: Convert to fraction form
    11,784.96/17,660.16 = 8,328.96/x
  3. Step 3: Cross multiply
    11,784.96x = 17,660.16 × 8,328.96
  4. Step 4: Simplify right side
    11,784.96x = 147,090,766.23
  5. Step 5: Solve for x
    x = 147,090,766.23/11,784.96
  6. Step 6: Final answer
    x = 12,481.23

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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.