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Finding the Fourth Proportional to 12,843.44, 19,258.32 and 5,912

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Solution

The fourth proportional to 12,843.44, 19,258.32 and 5,912 is: 8,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.44 : 19,258.32 = 5,912 : x
  2. Step 2: Convert to fraction form
    12,843.44/19,258.32 = 5,912/x
  3. Step 3: Cross multiply
    12,843.44x = 19,258.32 × 5,912
  4. Step 4: Simplify right side
    12,843.44x = 113,855,187.84
  5. Step 5: Solve for x
    x = 113,855,187.84/12,843.44
  6. Step 6: Final answer
    x = 8,864.85

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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.