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Finding the Fourth Proportional to 8,541.06, 12,815.10 and 3,859.80

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Solution

The fourth proportional to 8,541.06, 12,815.10 and 3,859.80 is: 5,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.06 : 12,815.10 = 3,859.80 : x
  2. Step 2: Convert to fraction form
    8,541.06/12,815.10 = 3,859.80/x
  3. Step 3: Cross multiply
    8,541.06x = 12,815.10 × 3,859.80
  4. Step 4: Simplify right side
    8,541.06x = 49,463,722.98
  5. Step 5: Solve for x
    x = 49,463,722.98/8,541.06
  6. Step 6: Final answer
    x = 5,791.29

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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.