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Finding the Fourth Proportional to 2,668.90, 3,683.41 and 1,549.59

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Solution

The fourth proportional to 2,668.90, 3,683.41 and 1,549.59 is: 2,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.90 : 3,683.41 = 1,549.59 : x
  2. Step 2: Convert to fraction form
    2,668.90/3,683.41 = 1,549.59/x
  3. Step 3: Cross multiply
    2,668.90x = 3,683.41 × 1,549.59
  4. Step 4: Simplify right side
    2,668.90x = 5,707,775.30
  5. Step 5: Solve for x
    x = 5,707,775.30/2,668.90
  6. Step 6: Final answer
    x = 2,138.62

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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.