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Finding the Fourth Proportional to 2,671.67, 4,008 and 1,028.07

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Solution

The fourth proportional to 2,671.67, 4,008 and 1,028.07 is: 1,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.67 : 4,008 = 1,028.07 : x
  2. Step 2: Convert to fraction form
    2,671.67/4,008 = 1,028.07/x
  3. Step 3: Cross multiply
    2,671.67x = 4,008 × 1,028.07
  4. Step 4: Simplify right side
    2,671.67x = 4,120,504.56
  5. Step 5: Solve for x
    x = 4,120,504.56/2,671.67
  6. Step 6: Final answer
    x = 1,542.30

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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.