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Finding the Fourth Proportional to 3,856, 5,785.76 and 1,880.54

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Solution

The fourth proportional to 3,856, 5,785.76 and 1,880.54 is: 2,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856 : 5,785.76 = 1,880.54 : x
  2. Step 2: Convert to fraction form
    3,856/5,785.76 = 1,880.54/x
  3. Step 3: Cross multiply
    3,856x = 5,785.76 × 1,880.54
  4. Step 4: Simplify right side
    3,856x = 10,880,353.11
  5. Step 5: Solve for x
    x = 10,880,353.11/3,856
  6. Step 6: Final answer
    x = 2,821.67

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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.