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Finding the Fourth Proportional to 13,462.75, 20,195.22 and 4,228.75

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Solution

The fourth proportional to 13,462.75, 20,195.22 and 4,228.75 is: 6,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.75 : 20,195.22 = 4,228.75 : x
  2. Step 2: Convert to fraction form
    13,462.75/20,195.22 = 4,228.75/x
  3. Step 3: Cross multiply
    13,462.75x = 20,195.22 × 4,228.75
  4. Step 4: Simplify right side
    13,462.75x = 85,400,536.58
  5. Step 5: Solve for x
    x = 85,400,536.58/13,462.75
  6. Step 6: Final answer
    x = 6,343.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.