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Finding the Fourth Proportional to 11,690, 16,132.20 and 6,722

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Solution

The fourth proportional to 11,690, 16,132.20 and 6,722 is: 9,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690 : 16,132.20 = 6,722 : x
  2. Step 2: Convert to fraction form
    11,690/16,132.20 = 6,722/x
  3. Step 3: Cross multiply
    11,690x = 16,132.20 × 6,722
  4. Step 4: Simplify right side
    11,690x = 108,440,648.40
  5. Step 5: Solve for x
    x = 108,440,648.40/11,690
  6. Step 6: Final answer
    x = 9,276.36

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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.