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Finding the Fourth Proportional to 2,989.02, 4,125 and 1,662.75

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Solution

The fourth proportional to 2,989.02, 4,125 and 1,662.75 is: 2,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.02 : 4,125 = 1,662.75 : x
  2. Step 2: Convert to fraction form
    2,989.02/4,125 = 1,662.75/x
  3. Step 3: Cross multiply
    2,989.02x = 4,125 × 1,662.75
  4. Step 4: Simplify right side
    2,989.02x = 6,858,843.75
  5. Step 5: Solve for x
    x = 6,858,843.75/2,989.02
  6. Step 6: Final answer
    x = 2,294.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.