Home / 3,828.14-5,742.12-1,978.64

Finding the Fourth Proportional to 3,828.14, 5,742.12 and 1,978.64

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Solution

The fourth proportional to 3,828.14, 5,742.12 and 1,978.64 is: 2,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.14 : 5,742.12 = 1,978.64 : x
  2. Step 2: Convert to fraction form
    3,828.14/5,742.12 = 1,978.64/x
  3. Step 3: Cross multiply
    3,828.14x = 5,742.12 × 1,978.64
  4. Step 4: Simplify right side
    3,828.14x = 11,361,588.32
  5. Step 5: Solve for x
    x = 11,361,588.32/3,828.14
  6. Step 6: Final answer
    x = 2,967.91

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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.