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Finding the Fourth Proportional to 3,765.56, 5,651.58 and 1,819.40

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Solution

The fourth proportional to 3,765.56, 5,651.58 and 1,819.40 is: 2,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.56 : 5,651.58 = 1,819.40 : x
  2. Step 2: Convert to fraction form
    3,765.56/5,651.58 = 1,819.40/x
  3. Step 3: Cross multiply
    3,765.56x = 5,651.58 × 1,819.40
  4. Step 4: Simplify right side
    3,765.56x = 10,282,484.65
  5. Step 5: Solve for x
    x = 10,282,484.65/3,765.56
  6. Step 6: Final answer
    x = 2,730.67

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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.