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Finding the Fourth Proportional to 8,151, 12,226.50 and 1,995

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Solution

The fourth proportional to 8,151, 12,226.50 and 1,995 is: 2,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151 : 12,226.50 = 1,995 : x
  2. Step 2: Convert to fraction form
    8,151/12,226.50 = 1,995/x
  3. Step 3: Cross multiply
    8,151x = 12,226.50 × 1,995
  4. Step 4: Simplify right side
    8,151x = 24,391,867.50
  5. Step 5: Solve for x
    x = 24,391,867.50/8,151
  6. Step 6: Final answer
    x = 2,992.50

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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.