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Finding the Fourth Proportional to 14,786, 20,405.16 and 8,162

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Solution

The fourth proportional to 14,786, 20,405.16 and 8,162 is: 11,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786 : 20,405.16 = 8,162 : x
  2. Step 2: Convert to fraction form
    14,786/20,405.16 = 8,162/x
  3. Step 3: Cross multiply
    14,786x = 20,405.16 × 8,162
  4. Step 4: Simplify right side
    14,786x = 166,546,915.92
  5. Step 5: Solve for x
    x = 166,546,915.92/14,786
  6. Step 6: Final answer
    x = 11,263.82

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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.