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Finding the Fourth Proportional to 11,683.88, 17,481.90 and 6,986.60

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Solution

The fourth proportional to 11,683.88, 17,481.90 and 6,986.60 is: 10,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.88 : 17,481.90 = 6,986.60 : x
  2. Step 2: Convert to fraction form
    11,683.88/17,481.90 = 6,986.60/x
  3. Step 3: Cross multiply
    11,683.88x = 17,481.90 × 6,986.60
  4. Step 4: Simplify right side
    11,683.88x = 122,139,042.54
  5. Step 5: Solve for x
    x = 122,139,042.54/11,683.88
  6. Step 6: Final answer
    x = 10,453.64

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1.5x scale

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.