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Finding the Fourth Proportional to 3,999, 5,999.00 and 1,366.77

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Solution

The fourth proportional to 3,999, 5,999.00 and 1,366.77 is: 2,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999 : 5,999.00 = 1,366.77 : x
  2. Step 2: Convert to fraction form
    3,999/5,999.00 = 1,366.77/x
  3. Step 3: Cross multiply
    3,999x = 5,999.00 × 1,366.77
  4. Step 4: Simplify right side
    3,999x = 8,199,246.40
  5. Step 5: Solve for x
    x = 8,199,246.40/3,999
  6. Step 6: Final answer
    x = 2,050.32

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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.