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Finding the Fourth Proportional to 8,151, 12,226.64 and 2,604.36

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Solution

The fourth proportional to 8,151, 12,226.64 and 2,604.36 is: 3,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151 : 12,226.64 = 2,604.36 : x
  2. Step 2: Convert to fraction form
    8,151/12,226.64 = 2,604.36/x
  3. Step 3: Cross multiply
    8,151x = 12,226.64 × 2,604.36
  4. Step 4: Simplify right side
    8,151x = 31,842,572.15
  5. Step 5: Solve for x
    x = 31,842,572.15/8,151
  6. Step 6: Final answer
    x = 3,906.58

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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.