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Finding the Fourth Proportional to 2,668.62, 4,001.91 and 1,281.09

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Solution

The fourth proportional to 2,668.62, 4,001.91 and 1,281.09 is: 1,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.62 : 4,001.91 = 1,281.09 : x
  2. Step 2: Convert to fraction form
    2,668.62/4,001.91 = 1,281.09/x
  3. Step 3: Cross multiply
    2,668.62x = 4,001.91 × 1,281.09
  4. Step 4: Simplify right side
    2,668.62x = 5,126,806.88
  5. Step 5: Solve for x
    x = 5,126,806.88/2,668.62
  6. Step 6: Final answer
    x = 1,921.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.