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Finding the Fourth Proportional to 8,200.34, 11,314.02 and 4,843.46

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Solution

The fourth proportional to 8,200.34, 11,314.02 and 4,843.46 is: 6,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.34 : 11,314.02 = 4,843.46 : x
  2. Step 2: Convert to fraction form
    8,200.34/11,314.02 = 4,843.46/x
  3. Step 3: Cross multiply
    8,200.34x = 11,314.02 × 4,843.46
  4. Step 4: Simplify right side
    8,200.34x = 54,799,003.31
  5. Step 5: Solve for x
    x = 54,799,003.31/8,200.34
  6. Step 6: Final answer
    x = 6,682.53

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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.