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Finding the Fourth Proportional to 8,109, 12,163.50 and 1,953

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Solution

The fourth proportional to 8,109, 12,163.50 and 1,953 is: 2,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109 : 12,163.50 = 1,953 : x
  2. Step 2: Convert to fraction form
    8,109/12,163.50 = 1,953/x
  3. Step 3: Cross multiply
    8,109x = 12,163.50 × 1,953
  4. Step 4: Simplify right side
    8,109x = 23,755,315.50
  5. Step 5: Solve for x
    x = 23,755,315.50/8,109
  6. Step 6: Final answer
    x = 2,929.50

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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.