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Finding the Fourth Proportional to 11,682, 16,118.73 and 7,905.78

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Solution

The fourth proportional to 11,682, 16,118.73 and 7,905.78 is: 10,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682 : 16,118.73 = 7,905.78 : x
  2. Step 2: Convert to fraction form
    11,682/16,118.73 = 7,905.78/x
  3. Step 3: Cross multiply
    11,682x = 16,118.73 × 7,905.78
  4. Step 4: Simplify right side
    11,682x = 127,431,133.26
  5. Step 5: Solve for x
    x = 127,431,133.26/11,682
  6. Step 6: Final answer
    x = 10,908.33

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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.