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Finding the Fourth Proportional to 9,109, 13,650.80 and 6,886

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Solution

The fourth proportional to 9,109, 13,650.80 and 6,886 is: 10,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109 : 13,650.80 = 6,886 : x
  2. Step 2: Convert to fraction form
    9,109/13,650.80 = 6,886/x
  3. Step 3: Cross multiply
    9,109x = 13,650.80 × 6,886
  4. Step 4: Simplify right side
    9,109x = 93,999,408.80
  5. Step 5: Solve for x
    x = 93,999,408.80/9,109
  6. Step 6: Final answer
    x = 10,319.40

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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.