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Finding the Fourth Proportional to 8,107, 12,160.50 and 1,951

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Solution

The fourth proportional to 8,107, 12,160.50 and 1,951 is: 2,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107 : 12,160.50 = 1,951 : x
  2. Step 2: Convert to fraction form
    8,107/12,160.50 = 1,951/x
  3. Step 3: Cross multiply
    8,107x = 12,160.50 × 1,951
  4. Step 4: Simplify right side
    8,107x = 23,725,135.50
  5. Step 5: Solve for x
    x = 23,725,135.50/8,107
  6. Step 6: Final answer
    x = 2,926.50

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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.