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Finding the Fourth Proportional to 2,668.86, 3,683.01 and 1,549.85

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Solution

The fourth proportional to 2,668.86, 3,683.01 and 1,549.85 is: 2,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.86 : 3,683.01 = 1,549.85 : x
  2. Step 2: Convert to fraction form
    2,668.86/3,683.01 = 1,549.85/x
  3. Step 3: Cross multiply
    2,668.86x = 3,683.01 × 1,549.85
  4. Step 4: Simplify right side
    2,668.86x = 5,708,094.73
  5. Step 5: Solve for x
    x = 5,708,094.73/2,668.86
  6. Step 6: Final answer
    x = 2,138.78

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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.