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Finding the Fourth Proportional to 13,986.81, 20,994.80 and 6,201.09

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Solution

The fourth proportional to 13,986.81, 20,994.80 and 6,201.09 is: 9,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.81 : 20,994.80 = 6,201.09 : x
  2. Step 2: Convert to fraction form
    13,986.81/20,994.80 = 6,201.09/x
  3. Step 3: Cross multiply
    13,986.81x = 20,994.80 × 6,201.09
  4. Step 4: Simplify right side
    13,986.81x = 130,190,613.33
  5. Step 5: Solve for x
    x = 130,190,613.33/13,986.81
  6. Step 6: Final answer
    x = 9,308.10

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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.