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Finding the Fourth Proportional to 6,211, 8,571.20 and 3,416.52

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Solution

The fourth proportional to 6,211, 8,571.20 and 3,416.52 is: 4,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211 : 8,571.20 = 3,416.52 : x
  2. Step 2: Convert to fraction form
    6,211/8,571.20 = 3,416.52/x
  3. Step 3: Cross multiply
    6,211x = 8,571.20 × 3,416.52
  4. Step 4: Simplify right side
    6,211x = 29,283,676.22
  5. Step 5: Solve for x
    x = 29,283,676.22/6,211
  6. Step 6: Final answer
    x = 4,714.81

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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.