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Finding the Fourth Proportional to 11,767, 16,239.90 and 6,799

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Solution

The fourth proportional to 11,767, 16,239.90 and 6,799 is: 9,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767 : 16,239.90 = 6,799 : x
  2. Step 2: Convert to fraction form
    11,767/16,239.90 = 6,799/x
  3. Step 3: Cross multiply
    11,767x = 16,239.90 × 6,799
  4. Step 4: Simplify right side
    11,767x = 110,415,080.10
  5. Step 5: Solve for x
    x = 110,415,080.10/11,767
  6. Step 6: Final answer
    x = 9,383.45

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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.