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Finding the Fourth Proportional to 2,002.21, 2,998.05 and 1,414.03

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Solution

The fourth proportional to 2,002.21, 2,998.05 and 1,414.03 is: 2,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.21 : 2,998.05 = 1,414.03 : x
  2. Step 2: Convert to fraction form
    2,002.21/2,998.05 = 1,414.03/x
  3. Step 3: Cross multiply
    2,002.21x = 2,998.05 × 1,414.03
  4. Step 4: Simplify right side
    2,002.21x = 4,239,317.65
  5. Step 5: Solve for x
    x = 4,239,317.65/2,002.21
  6. Step 6: Final answer
    x = 2,117.32

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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.