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Finding the Fourth Proportional to 2,668.18, 3,682.02 and 1,489.18

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Solution

The fourth proportional to 2,668.18, 3,682.02 and 1,489.18 is: 2,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.18 : 3,682.02 = 1,489.18 : x
  2. Step 2: Convert to fraction form
    2,668.18/3,682.02 = 1,489.18/x
  3. Step 3: Cross multiply
    2,668.18x = 3,682.02 × 1,489.18
  4. Step 4: Simplify right side
    2,668.18x = 5,483,190.54
  5. Step 5: Solve for x
    x = 5,483,190.54/2,668.18
  6. Step 6: Final answer
    x = 2,055.03

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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.