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Finding the Fourth Proportional to 13,738.56, 20,592 and 7,162.56

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Solution

The fourth proportional to 13,738.56, 20,592 and 7,162.56 is: 10,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.56 : 20,592 = 7,162.56 : x
  2. Step 2: Convert to fraction form
    13,738.56/20,592 = 7,162.56/x
  3. Step 3: Cross multiply
    13,738.56x = 20,592 × 7,162.56
  4. Step 4: Simplify right side
    13,738.56x = 147,491,435.52
  5. Step 5: Solve for x
    x = 147,491,435.52/13,738.56
  6. Step 6: Final answer
    x = 10,735.58

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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.