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Finding the Fourth Proportional to 8,166.66, 12,247.05 and 2,828.39

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Solution

The fourth proportional to 8,166.66, 12,247.05 and 2,828.39 is: 4,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.66 : 12,247.05 = 2,828.39 : x
  2. Step 2: Convert to fraction form
    8,166.66/12,247.05 = 2,828.39/x
  3. Step 3: Cross multiply
    8,166.66x = 12,247.05 × 2,828.39
  4. Step 4: Simplify right side
    8,166.66x = 34,639,464.37
  5. Step 5: Solve for x
    x = 34,639,464.37/8,166.66
  6. Step 6: Final answer
    x = 4,241.57

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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.