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Finding the Fourth Proportional to 8,200.11, 12,271.80 and 6,702.02

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Solution

The fourth proportional to 8,200.11, 12,271.80 and 6,702.02 is: 10,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.11 : 12,271.80 = 6,702.02 : x
  2. Step 2: Convert to fraction form
    8,200.11/12,271.80 = 6,702.02/x
  3. Step 3: Cross multiply
    8,200.11x = 12,271.80 × 6,702.02
  4. Step 4: Simplify right side
    8,200.11x = 82,245,824.31
  5. Step 5: Solve for x
    x = 82,245,824.31/8,200.11
  6. Step 6: Final answer
    x = 10,029.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.