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Finding the Fourth Proportional to 11,690.88, 16,128 and 6,720

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Solution

The fourth proportional to 11,690.88, 16,128 and 6,720 is: 9,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.88 : 16,128 = 6,720 : x
  2. Step 2: Convert to fraction form
    11,690.88/16,128 = 6,720/x
  3. Step 3: Cross multiply
    11,690.88x = 16,128 × 6,720
  4. Step 4: Simplify right side
    11,690.88x = 108,380,160
  5. Step 5: Solve for x
    x = 108,380,160/11,690.88
  6. Step 6: Final answer
    x = 9,270.49

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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.