Home / 3,898-5,847.20-1,301.14

Finding the Fourth Proportional to 3,898, 5,847.20 and 1,301.14

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Solution

The fourth proportional to 3,898, 5,847.20 and 1,301.14 is: 1,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898 : 5,847.20 = 1,301.14 : x
  2. Step 2: Convert to fraction form
    3,898/5,847.20 = 1,301.14/x
  3. Step 3: Cross multiply
    3,898x = 5,847.20 × 1,301.14
  4. Step 4: Simplify right side
    3,898x = 7,608,025.81
  5. Step 5: Solve for x
    x = 7,608,025.81/3,898
  6. Step 6: Final answer
    x = 1,951.78

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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.