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Finding the Fourth Proportional to 2,998.67, 4,489.54 and 1,589.87

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Solution

The fourth proportional to 2,998.67, 4,489.54 and 1,589.87 is: 2,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.67 : 4,489.54 = 1,589.87 : x
  2. Step 2: Convert to fraction form
    2,998.67/4,489.54 = 1,589.87/x
  3. Step 3: Cross multiply
    2,998.67x = 4,489.54 × 1,589.87
  4. Step 4: Simplify right side
    2,998.67x = 7,137,792.21
  5. Step 5: Solve for x
    x = 7,137,792.21/2,998.67
  6. Step 6: Final answer
    x = 2,380.32

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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.