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Finding the Fourth Proportional to 2,002.22, 2,999.31 and 998.54

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Solution

The fourth proportional to 2,002.22, 2,999.31 and 998.54 is: 1,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.22 : 2,999.31 = 998.54 : x
  2. Step 2: Convert to fraction form
    2,002.22/2,999.31 = 998.54/x
  3. Step 3: Cross multiply
    2,002.22x = 2,999.31 × 998.54
  4. Step 4: Simplify right side
    2,002.22x = 2,994,923.51
  5. Step 5: Solve for x
    x = 2,994,923.51/2,002.22
  6. Step 6: Final answer
    x = 1,495.80

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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.