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Finding the Fourth Proportional to 11,786, 16,252.62 and 7,805.66

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Solution

The fourth proportional to 11,786, 16,252.62 and 7,805.66 is: 10,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786 : 16,252.62 = 7,805.66 : x
  2. Step 2: Convert to fraction form
    11,786/16,252.62 = 7,805.66/x
  3. Step 3: Cross multiply
    11,786x = 16,252.62 × 7,805.66
  4. Step 4: Simplify right side
    11,786x = 126,862,425.83
  5. Step 5: Solve for x
    x = 126,862,425.83/11,786
  6. Step 6: Final answer
    x = 10,763.82

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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.