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Finding the Fourth Proportional to 3,993.06, 5,991.09 and 1,653.30

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Solution

The fourth proportional to 3,993.06, 5,991.09 and 1,653.30 is: 2,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.06 : 5,991.09 = 1,653.30 : x
  2. Step 2: Convert to fraction form
    3,993.06/5,991.09 = 1,653.30/x
  3. Step 3: Cross multiply
    3,993.06x = 5,991.09 × 1,653.30
  4. Step 4: Simplify right side
    3,993.06x = 9,905,069.10
  5. Step 5: Solve for x
    x = 9,905,069.10/3,993.06
  6. Step 6: Final answer
    x = 2,480.57

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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.