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Finding the Fourth Proportional to 11,688, 16,129.44 and 6,720

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Solution

The fourth proportional to 11,688, 16,129.44 and 6,720 is: 9,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688 : 16,129.44 = 6,720 : x
  2. Step 2: Convert to fraction form
    11,688/16,129.44 = 6,720/x
  3. Step 3: Cross multiply
    11,688x = 16,129.44 × 6,720
  4. Step 4: Simplify right side
    11,688x = 108,389,836.80
  5. Step 5: Solve for x
    x = 108,389,836.80/11,688
  6. Step 6: Final answer
    x = 9,273.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.