Home / 3,896-5,845.72-2,046.68

Finding the Fourth Proportional to 3,896, 5,845.72 and 2,046.68

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Solution

The fourth proportional to 3,896, 5,845.72 and 2,046.68 is: 3,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896 : 5,845.72 = 2,046.68 : x
  2. Step 2: Convert to fraction form
    3,896/5,845.72 = 2,046.68/x
  3. Step 3: Cross multiply
    3,896x = 5,845.72 × 2,046.68
  4. Step 4: Simplify right side
    3,896x = 11,964,318.21
  5. Step 5: Solve for x
    x = 11,964,318.21/3,896
  6. Step 6: Final answer
    x = 3,070.92

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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.