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Finding the Fourth Proportional to 2,668.14, 3,684.69 and 2,272.86

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Solution

The fourth proportional to 2,668.14, 3,684.69 and 2,272.86 is: 3,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.14 : 3,684.69 = 2,272.86 : x
  2. Step 2: Convert to fraction form
    2,668.14/3,684.69 = 2,272.86/x
  3. Step 3: Cross multiply
    2,668.14x = 3,684.69 × 2,272.86
  4. Step 4: Simplify right side
    2,668.14x = 8,374,784.51
  5. Step 5: Solve for x
    x = 8,374,784.51/2,668.14
  6. Step 6: Final answer
    x = 3,138.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.