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Finding the Fourth Proportional to 8,375.68, 12,566.26 and 3,447.64

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Solution

The fourth proportional to 8,375.68, 12,566.26 and 3,447.64 is: 5,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.68 : 12,566.26 = 3,447.64 : x
  2. Step 2: Convert to fraction form
    8,375.68/12,566.26 = 3,447.64/x
  3. Step 3: Cross multiply
    8,375.68x = 12,566.26 × 3,447.64
  4. Step 4: Simplify right side
    8,375.68x = 43,323,940.63
  5. Step 5: Solve for x
    x = 43,323,940.63/8,375.68
  6. Step 6: Final answer
    x = 5,172.59

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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.