Home / 3,830.67-5,286.38-2,258.78

Finding the Fourth Proportional to 3,830.67, 5,286.38 and 2,258.78

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Solution

The fourth proportional to 3,830.67, 5,286.38 and 2,258.78 is: 3,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.67 : 5,286.38 = 2,258.78 : x
  2. Step 2: Convert to fraction form
    3,830.67/5,286.38 = 2,258.78/x
  3. Step 3: Cross multiply
    3,830.67x = 5,286.38 × 2,258.78
  4. Step 4: Simplify right side
    3,830.67x = 11,940,731.69
  5. Step 5: Solve for x
    x = 11,940,731.69/3,830.67
  6. Step 6: Final answer
    x = 3,117.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.