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Finding the Fourth Proportional to 2,005.75, 3,003.13 and 1,660.08

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Solution

The fourth proportional to 2,005.75, 3,003.13 and 1,660.08 is: 2,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.75 : 3,003.13 = 1,660.08 : x
  2. Step 2: Convert to fraction form
    2,005.75/3,003.13 = 1,660.08/x
  3. Step 3: Cross multiply
    2,005.75x = 3,003.13 × 1,660.08
  4. Step 4: Simplify right side
    2,005.75x = 4,985,436.05
  5. Step 5: Solve for x
    x = 4,985,436.05/2,005.75
  6. Step 6: Final answer
    x = 2,485.57

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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.