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Finding the Fourth Proportional to 2,480.94, 3,723.21 and 1,999.80

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Solution

The fourth proportional to 2,480.94, 3,723.21 and 1,999.80 is: 3,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.94 : 3,723.21 = 1,999.80 : x
  2. Step 2: Convert to fraction form
    2,480.94/3,723.21 = 1,999.80/x
  3. Step 3: Cross multiply
    2,480.94x = 3,723.21 × 1,999.80
  4. Step 4: Simplify right side
    2,480.94x = 7,445,675.36
  5. Step 5: Solve for x
    x = 7,445,675.36/2,480.94
  6. Step 6: Final answer
    x = 3,001.15

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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.