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Finding the Fourth Proportional to 2,894.12, 3,993.90 and 1,567.86

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Solution

The fourth proportional to 2,894.12, 3,993.90 and 1,567.86 is: 2,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.12 : 3,993.90 = 1,567.86 : x
  2. Step 2: Convert to fraction form
    2,894.12/3,993.90 = 1,567.86/x
  3. Step 3: Cross multiply
    2,894.12x = 3,993.90 × 1,567.86
  4. Step 4: Simplify right side
    2,894.12x = 6,261,876.05
  5. Step 5: Solve for x
    x = 6,261,876.05/2,894.12
  6. Step 6: Final answer
    x = 2,163.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.