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Finding the Fourth Proportional to 19,775.88, 27,297.60 and 12,228

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Solution

The fourth proportional to 19,775.88, 27,297.60 and 12,228 is: 16,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.88 : 27,297.60 = 12,228 : x
  2. Step 2: Convert to fraction form
    19,775.88/27,297.60 = 12,228/x
  3. Step 3: Cross multiply
    19,775.88x = 27,297.60 × 12,228
  4. Step 4: Simplify right side
    19,775.88x = 333,795,052.80
  5. Step 5: Solve for x
    x = 333,795,052.80/19,775.88
  6. Step 6: Final answer
    x = 16,878.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.