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Finding the Fourth Proportional to 11,689, 16,131.20 and 6,721

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Solution

The fourth proportional to 11,689, 16,131.20 and 6,721 is: 9,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689 : 16,131.20 = 6,721 : x
  2. Step 2: Convert to fraction form
    11,689/16,131.20 = 6,721/x
  3. Step 3: Cross multiply
    11,689x = 16,131.20 × 6,721
  4. Step 4: Simplify right side
    11,689x = 108,417,795.20
  5. Step 5: Solve for x
    x = 108,417,795.20/11,689
  6. Step 6: Final answer
    x = 9,275.20

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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.