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Finding the Fourth Proportional to 12,868, 19,334.27 and 8,190.03

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Solution

The fourth proportional to 12,868, 19,334.27 and 8,190.03 is: 12,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868 : 19,334.27 = 8,190.03 : x
  2. Step 2: Convert to fraction form
    12,868/19,334.27 = 8,190.03/x
  3. Step 3: Cross multiply
    12,868x = 19,334.27 × 8,190.03
  4. Step 4: Simplify right side
    12,868x = 158,348,251.33
  5. Step 5: Solve for x
    x = 158,348,251.33/12,868
  6. Step 6: Final answer
    x = 12,305.58

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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.