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Finding the Fourth Proportional to 12,261, 18,391.50 and 3,027

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Solution

The fourth proportional to 12,261, 18,391.50 and 3,027 is: 4,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261 : 18,391.50 = 3,027 : x
  2. Step 2: Convert to fraction form
    12,261/18,391.50 = 3,027/x
  3. Step 3: Cross multiply
    12,261x = 18,391.50 × 3,027
  4. Step 4: Simplify right side
    12,261x = 55,671,070.50
  5. Step 5: Solve for x
    x = 55,671,070.50/12,261
  6. Step 6: Final answer
    x = 4,540.50

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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.