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Finding the Fourth Proportional to 3,785.54, 5,678.99 and 1,286.96

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Solution

The fourth proportional to 3,785.54, 5,678.99 and 1,286.96 is: 1,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.54 : 5,678.99 = 1,286.96 : x
  2. Step 2: Convert to fraction form
    3,785.54/5,678.99 = 1,286.96/x
  3. Step 3: Cross multiply
    3,785.54x = 5,678.99 × 1,286.96
  4. Step 4: Simplify right side
    3,785.54x = 7,308,650.39
  5. Step 5: Solve for x
    x = 7,308,650.39/3,785.54
  6. Step 6: Final answer
    x = 1,930.67

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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.