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Finding the Fourth Proportional to 8,216.94, 12,308.13 and 3,837.90

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Solution

The fourth proportional to 8,216.94, 12,308.13 and 3,837.90 is: 5,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.94 : 12,308.13 = 3,837.90 : x
  2. Step 2: Convert to fraction form
    8,216.94/12,308.13 = 3,837.90/x
  3. Step 3: Cross multiply
    8,216.94x = 12,308.13 × 3,837.90
  4. Step 4: Simplify right side
    8,216.94x = 47,237,372.13
  5. Step 5: Solve for x
    x = 47,237,372.13/8,216.94
  6. Step 6: Final answer
    x = 5,748.78

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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.