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Finding the Fourth Proportional to 8,133.78, 12,201.30 and 2,290.44

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Solution

The fourth proportional to 8,133.78, 12,201.30 and 2,290.44 is: 3,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.78 : 12,201.30 = 2,290.44 : x
  2. Step 2: Convert to fraction form
    8,133.78/12,201.30 = 2,290.44/x
  3. Step 3: Cross multiply
    8,133.78x = 12,201.30 × 2,290.44
  4. Step 4: Simplify right side
    8,133.78x = 27,946,345.57
  5. Step 5: Solve for x
    x = 27,946,345.57/8,133.78
  6. Step 6: Final answer
    x = 3,435.84

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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.