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Finding the Fourth Proportional to 8,052.22, 12,078.33 and 2,506.33

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Solution

The fourth proportional to 8,052.22, 12,078.33 and 2,506.33 is: 3,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.22 : 12,078.33 = 2,506.33 : x
  2. Step 2: Convert to fraction form
    8,052.22/12,078.33 = 2,506.33/x
  3. Step 3: Cross multiply
    8,052.22x = 12,078.33 × 2,506.33
  4. Step 4: Simplify right side
    8,052.22x = 30,272,280.83
  5. Step 5: Solve for x
    x = 30,272,280.83/8,052.22
  6. Step 6: Final answer
    x = 3,759.50

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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.