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Finding the Fourth Proportional to 2,801.69, 3,866.74 and 1,668

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Solution

The fourth proportional to 2,801.69, 3,866.74 and 1,668 is: 2,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.69 : 3,866.74 = 1,668 : x
  2. Step 2: Convert to fraction form
    2,801.69/3,866.74 = 1,668/x
  3. Step 3: Cross multiply
    2,801.69x = 3,866.74 × 1,668
  4. Step 4: Simplify right side
    2,801.69x = 6,449,718.15
  5. Step 5: Solve for x
    x = 6,449,718.15/2,801.69
  6. Step 6: Final answer
    x = 2,302.09

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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.