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Finding the Fourth Proportional to 20,828, 28,743 and 11,396.72

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Solution

The fourth proportional to 20,828, 28,743 and 11,396.72 is: 15,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828 : 28,743 = 11,396.72 : x
  2. Step 2: Convert to fraction form
    20,828/28,743 = 11,396.72/x
  3. Step 3: Cross multiply
    20,828x = 28,743 × 11,396.72
  4. Step 4: Simplify right side
    20,828x = 327,575,922.96
  5. Step 5: Solve for x
    x = 327,575,922.96/20,828
  6. Step 6: Final answer
    x = 15,727.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.