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Finding the Fourth Proportional to 20,556.84, 30,834.72 and 5,765.88

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Solution

The fourth proportional to 20,556.84, 30,834.72 and 5,765.88 is: 8,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556.84 : 30,834.72 = 5,765.88 : x
  2. Step 2: Convert to fraction form
    20,556.84/30,834.72 = 5,765.88/x
  3. Step 3: Cross multiply
    20,556.84x = 30,834.72 × 5,765.88
  4. Step 4: Simplify right side
    20,556.84x = 177,789,295.35
  5. Step 5: Solve for x
    x = 177,789,295.35/20,556.84
  6. Step 6: Final answer
    x = 8,648.67

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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.