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Finding the Fourth Proportional to 1,998.48, 2,998.26 and 1,073.64

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Solution

The fourth proportional to 1,998.48, 2,998.26 and 1,073.64 is: 1,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.48 : 2,998.26 = 1,073.64 : x
  2. Step 2: Convert to fraction form
    1,998.48/2,998.26 = 1,073.64/x
  3. Step 3: Cross multiply
    1,998.48x = 2,998.26 × 1,073.64
  4. Step 4: Simplify right side
    1,998.48x = 3,219,051.87
  5. Step 5: Solve for x
    x = 3,219,051.87/1,998.48
  6. Step 6: Final answer
    x = 1,610.75

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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.