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Finding the Fourth Proportional to 11,829, 16,324.02 and 6,861

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Solution

The fourth proportional to 11,829, 16,324.02 and 6,861 is: 9,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 16,324.02 = 6,861 : x
  2. Step 2: Convert to fraction form
    11,829/16,324.02 = 6,861/x
  3. Step 3: Cross multiply
    11,829x = 16,324.02 × 6,861
  4. Step 4: Simplify right side
    11,829x = 111,999,101.22
  5. Step 5: Solve for x
    x = 111,999,101.22/11,829
  6. Step 6: Final answer
    x = 9,468.18

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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.