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Finding the Fourth Proportional to 2,668.95, 4,003.29 and 821.34

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Solution

The fourth proportional to 2,668.95, 4,003.29 and 821.34 is: 1,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.95 : 4,003.29 = 821.34 : x
  2. Step 2: Convert to fraction form
    2,668.95/4,003.29 = 821.34/x
  3. Step 3: Cross multiply
    2,668.95x = 4,003.29 × 821.34
  4. Step 4: Simplify right side
    2,668.95x = 3,288,062.21
  5. Step 5: Solve for x
    x = 3,288,062.21/2,668.95
  6. Step 6: Final answer
    x = 1,231.97

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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.