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Finding the Fourth Proportional to 3,611.89, 4,978.96 and 2,824.57

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Solution

The fourth proportional to 3,611.89, 4,978.96 and 2,824.57 is: 3,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.89 : 4,978.96 = 2,824.57 : x
  2. Step 2: Convert to fraction form
    3,611.89/4,978.96 = 2,824.57/x
  3. Step 3: Cross multiply
    3,611.89x = 4,978.96 × 2,824.57
  4. Step 4: Simplify right side
    3,611.89x = 14,063,421.05
  5. Step 5: Solve for x
    x = 14,063,421.05/3,611.89
  6. Step 6: Final answer
    x = 3,893.65

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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.