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Finding the Fourth Proportional to 2,667.93, 3,999.72 and 1,639.77

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Solution

The fourth proportional to 2,667.93, 3,999.72 and 1,639.77 is: 2,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.93 : 3,999.72 = 1,639.77 : x
  2. Step 2: Convert to fraction form
    2,667.93/3,999.72 = 1,639.77/x
  3. Step 3: Cross multiply
    2,667.93x = 3,999.72 × 1,639.77
  4. Step 4: Simplify right side
    2,667.93x = 6,558,620.86
  5. Step 5: Solve for x
    x = 6,558,620.86/2,667.93
  6. Step 6: Final answer
    x = 2,458.32

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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.