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Finding the Fourth Proportional to 8,171.98, 12,262.64 and 6,801.92

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Solution

The fourth proportional to 8,171.98, 12,262.64 and 6,801.92 is: 10,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.98 : 12,262.64 = 6,801.92 : x
  2. Step 2: Convert to fraction form
    8,171.98/12,262.64 = 6,801.92/x
  3. Step 3: Cross multiply
    8,171.98x = 12,262.64 × 6,801.92
  4. Step 4: Simplify right side
    8,171.98x = 83,409,496.27
  5. Step 5: Solve for x
    x = 83,409,496.27/8,171.98
  6. Step 6: Final answer
    x = 10,206.77

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1.5x scale

Why These Related Problems?

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