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Finding the Fourth Proportional to 13,486.56, 20,229.90 and 4,126.56

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Solution

The fourth proportional to 13,486.56, 20,229.90 and 4,126.56 is: 6,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.56 : 20,229.90 = 4,126.56 : x
  2. Step 2: Convert to fraction form
    13,486.56/20,229.90 = 4,126.56/x
  3. Step 3: Cross multiply
    13,486.56x = 20,229.90 × 4,126.56
  4. Step 4: Simplify right side
    13,486.56x = 83,479,896.14
  5. Step 5: Solve for x
    x = 83,479,896.14/13,486.56
  6. Step 6: Final answer
    x = 6,189.86

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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.