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Finding the Fourth Proportional to 8,110, 12,165 and 1,954

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Solution

The fourth proportional to 8,110, 12,165 and 1,954 is: 2,931

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110 : 12,165 = 1,954 : x
  2. Step 2: Convert to fraction form
    8,110/12,165 = 1,954/x
  3. Step 3: Cross multiply
    8,110x = 12,165 × 1,954
  4. Step 4: Simplify right side
    8,110x = 23,770,410
  5. Step 5: Solve for x
    x = 23,770,410/8,110
  6. Step 6: Final answer
    x = 2,931

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.