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Finding the Fourth Proportional to 8,367.90, 12,542.10 and 3,431.54

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Solution

The fourth proportional to 8,367.90, 12,542.10 and 3,431.54 is: 5,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.90 : 12,542.10 = 3,431.54 : x
  2. Step 2: Convert to fraction form
    8,367.90/12,542.10 = 3,431.54/x
  3. Step 3: Cross multiply
    8,367.90x = 12,542.10 × 3,431.54
  4. Step 4: Simplify right side
    8,367.90x = 43,038,717.83
  5. Step 5: Solve for x
    x = 43,038,717.83/8,367.90
  6. Step 6: Final answer
    x = 5,143.31

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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.