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Finding the Fourth Proportional to 19,647, 27,125.11 and 13,676.49

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Solution

The fourth proportional to 19,647, 27,125.11 and 13,676.49 is: 18,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647 : 27,125.11 = 13,676.49 : x
  2. Step 2: Convert to fraction form
    19,647/27,125.11 = 13,676.49/x
  3. Step 3: Cross multiply
    19,647x = 27,125.11 × 13,676.49
  4. Step 4: Simplify right side
    19,647x = 370,976,295.66
  5. Step 5: Solve for x
    x = 370,976,295.66/19,647
  6. Step 6: Final answer
    x = 18,882.08

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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.