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Finding the Fourth Proportional to 11,717.76, 16,172.04 and 6,681

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Solution

The fourth proportional to 11,717.76, 16,172.04 and 6,681 is: 9,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.76 : 16,172.04 = 6,681 : x
  2. Step 2: Convert to fraction form
    11,717.76/16,172.04 = 6,681/x
  3. Step 3: Cross multiply
    11,717.76x = 16,172.04 × 6,681
  4. Step 4: Simplify right side
    11,717.76x = 108,045,399.24
  5. Step 5: Solve for x
    x = 108,045,399.24/11,717.76
  6. Step 6: Final answer
    x = 9,220.65

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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.