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Finding the Fourth Proportional to 3,999.66, 5,999.49 and 3,314.22

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Solution

The fourth proportional to 3,999.66, 5,999.49 and 3,314.22 is: 4,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.66 : 5,999.49 = 3,314.22 : x
  2. Step 2: Convert to fraction form
    3,999.66/5,999.49 = 3,314.22/x
  3. Step 3: Cross multiply
    3,999.66x = 5,999.49 × 3,314.22
  4. Step 4: Simplify right side
    3,999.66x = 19,883,629.75
  5. Step 5: Solve for x
    x = 19,883,629.75/3,999.66
  6. Step 6: Final answer
    x = 4,971.33

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1.5x scale

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.