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Finding the Fourth Proportional to 13,676.88, 18,877.32 and 8,706

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Solution

The fourth proportional to 13,676.88, 18,877.32 and 8,706 is: 12,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.88 : 18,877.32 = 8,706 : x
  2. Step 2: Convert to fraction form
    13,676.88/18,877.32 = 8,706/x
  3. Step 3: Cross multiply
    13,676.88x = 18,877.32 × 8,706
  4. Step 4: Simplify right side
    13,676.88x = 164,345,947.92
  5. Step 5: Solve for x
    x = 164,345,947.92/13,676.88
  6. Step 6: Final answer
    x = 12,016.33

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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.