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Finding the Fourth Proportional to 2,661.92, 3,673.91 and 1,668.05

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Solution

The fourth proportional to 2,661.92, 3,673.91 and 1,668.05 is: 2,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.92 : 3,673.91 = 1,668.05 : x
  2. Step 2: Convert to fraction form
    2,661.92/3,673.91 = 1,668.05/x
  3. Step 3: Cross multiply
    2,661.92x = 3,673.91 × 1,668.05
  4. Step 4: Simplify right side
    2,661.92x = 6,128,251.38
  5. Step 5: Solve for x
    x = 6,128,251.38/2,661.92
  6. Step 6: Final answer
    x = 2,302.20

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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.