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Finding the Fourth Proportional to 1,996.86, 3,005.25 and 1,505.80

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Solution

The fourth proportional to 1,996.86, 3,005.25 and 1,505.80 is: 2,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.86 : 3,005.25 = 1,505.80 : x
  2. Step 2: Convert to fraction form
    1,996.86/3,005.25 = 1,505.80/x
  3. Step 3: Cross multiply
    1,996.86x = 3,005.25 × 1,505.80
  4. Step 4: Simplify right side
    1,996.86x = 4,525,305.45
  5. Step 5: Solve for x
    x = 4,525,305.45/1,996.86
  6. Step 6: Final answer
    x = 2,266.21

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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.