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Finding the Fourth Proportional to 3,933, 5,427.84 and 2,164.68

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Solution

The fourth proportional to 3,933, 5,427.84 and 2,164.68 is: 2,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933 : 5,427.84 = 2,164.68 : x
  2. Step 2: Convert to fraction form
    3,933/5,427.84 = 2,164.68/x
  3. Step 3: Cross multiply
    3,933x = 5,427.84 × 2,164.68
  4. Step 4: Simplify right side
    3,933x = 11,749,536.69
  5. Step 5: Solve for x
    x = 11,749,536.69/3,933
  6. Step 6: Final answer
    x = 2,987.42

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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.