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Finding the Fourth Proportional to 4,059.70, 6,077.40 and 3,819.40

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Solution

The fourth proportional to 4,059.70, 6,077.40 and 3,819.40 is: 5,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.70 : 6,077.40 = 3,819.40 : x
  2. Step 2: Convert to fraction form
    4,059.70/6,077.40 = 3,819.40/x
  3. Step 3: Cross multiply
    4,059.70x = 6,077.40 × 3,819.40
  4. Step 4: Simplify right side
    4,059.70x = 23,212,021.56
  5. Step 5: Solve for x
    x = 23,212,021.56/4,059.70
  6. Step 6: Final answer
    x = 5,717.67

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1.5x scale

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.