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Finding the Fourth Proportional to 6,626, 9,143.88 and 3,682

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Solution

The fourth proportional to 6,626, 9,143.88 and 3,682 is: 5,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626 : 9,143.88 = 3,682 : x
  2. Step 2: Convert to fraction form
    6,626/9,143.88 = 3,682/x
  3. Step 3: Cross multiply
    6,626x = 9,143.88 × 3,682
  4. Step 4: Simplify right side
    6,626x = 33,667,766.16
  5. Step 5: Solve for x
    x = 33,667,766.16/6,626
  6. Step 6: Final answer
    x = 5,081.16

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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.