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Finding the Fourth Proportional to 2,669.94, 4,004.94 and 821.04

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Solution

The fourth proportional to 2,669.94, 4,004.94 and 821.04 is: 1,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.94 : 4,004.94 = 821.04 : x
  2. Step 2: Convert to fraction form
    2,669.94/4,004.94 = 821.04/x
  3. Step 3: Cross multiply
    2,669.94x = 4,004.94 × 821.04
  4. Step 4: Simplify right side
    2,669.94x = 3,288,215.94
  5. Step 5: Solve for x
    x = 3,288,215.94/2,669.94
  6. Step 6: Final answer
    x = 1,231.57

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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.