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Finding the Fourth Proportional to 13,419.80, 20,129.60 and 4,059.80

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Solution

The fourth proportional to 13,419.80, 20,129.60 and 4,059.80 is: 6,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.80 : 20,129.60 = 4,059.80 : x
  2. Step 2: Convert to fraction form
    13,419.80/20,129.60 = 4,059.80/x
  3. Step 3: Cross multiply
    13,419.80x = 20,129.60 × 4,059.80
  4. Step 4: Simplify right side
    13,419.80x = 81,722,150.08
  5. Step 5: Solve for x
    x = 81,722,150.08/13,419.80
  6. Step 6: Final answer
    x = 6,089.67

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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.