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Finding the Fourth Proportional to 6,166, 8,509.20 and 3,682

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Solution

The fourth proportional to 6,166, 8,509.20 and 3,682 is: 5,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166 : 8,509.20 = 3,682 : x
  2. Step 2: Convert to fraction form
    6,166/8,509.20 = 3,682/x
  3. Step 3: Cross multiply
    6,166x = 8,509.20 × 3,682
  4. Step 4: Simplify right side
    6,166x = 31,330,874.40
  5. Step 5: Solve for x
    x = 31,330,874.40/6,166
  6. Step 6: Final answer
    x = 5,081.23

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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.