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Finding the Fourth Proportional to 2,893.81, 3,993.48 and 1,567.54

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Solution

The fourth proportional to 2,893.81, 3,993.48 and 1,567.54 is: 2,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.81 : 3,993.48 = 1,567.54 : x
  2. Step 2: Convert to fraction form
    2,893.81/3,993.48 = 1,567.54/x
  3. Step 3: Cross multiply
    2,893.81x = 3,993.48 × 1,567.54
  4. Step 4: Simplify right side
    2,893.81x = 6,259,939.64
  5. Step 5: Solve for x
    x = 6,259,939.64/2,893.81
  6. Step 6: Final answer
    x = 2,163.22

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Why These Related Problems?

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