Home / 3,896-5,829.42-2,428.28

Finding the Fourth Proportional to 3,896, 5,829.42 and 2,428.28

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Solution

The fourth proportional to 3,896, 5,829.42 and 2,428.28 is: 3,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896 : 5,829.42 = 2,428.28 : x
  2. Step 2: Convert to fraction form
    3,896/5,829.42 = 2,428.28/x
  3. Step 3: Cross multiply
    3,896x = 5,829.42 × 2,428.28
  4. Step 4: Simplify right side
    3,896x = 14,155,464.00
  5. Step 5: Solve for x
    x = 14,155,464.00/3,896
  6. Step 6: Final answer
    x = 3,633.33

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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.