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Finding the Fourth Proportional to 6,143.90, 8,478.50 and 3,626

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Solution

The fourth proportional to 6,143.90, 8,478.50 and 3,626 is: 5,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.90 : 8,478.50 = 3,626 : x
  2. Step 2: Convert to fraction form
    6,143.90/8,478.50 = 3,626/x
  3. Step 3: Cross multiply
    6,143.90x = 8,478.50 × 3,626
  4. Step 4: Simplify right side
    6,143.90x = 30,743,041
  5. Step 5: Solve for x
    x = 30,743,041/6,143.90
  6. Step 6: Final answer
    x = 5,003.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.