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Finding the Fourth Proportional to 13,740, 20,610.18 and 3,351.75

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Solution

The fourth proportional to 13,740, 20,610.18 and 3,351.75 is: 5,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 20,610.18 = 3,351.75 : x
  2. Step 2: Convert to fraction form
    13,740/20,610.18 = 3,351.75/x
  3. Step 3: Cross multiply
    13,740x = 20,610.18 × 3,351.75
  4. Step 4: Simplify right side
    13,740x = 69,080,170.82
  5. Step 5: Solve for x
    x = 69,080,170.82/13,740
  6. Step 6: Final answer
    x = 5,027.67

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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.