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Finding the Fourth Proportional to 9,198.77, 12,702.42 and 6,836.81

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Solution

The fourth proportional to 9,198.77, 12,702.42 and 6,836.81 is: 9,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.77 : 12,702.42 = 6,836.81 : x
  2. Step 2: Convert to fraction form
    9,198.77/12,702.42 = 6,836.81/x
  3. Step 3: Cross multiply
    9,198.77x = 12,702.42 × 6,836.81
  4. Step 4: Simplify right side
    9,198.77x = 86,843,968.57
  5. Step 5: Solve for x
    x = 86,843,968.57/9,198.77
  6. Step 6: Final answer
    x = 9,440.83

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1.5x scale

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.