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Finding the Fourth Proportional to 12,305.73, 16,996.08 and 8,963.49

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Solution

The fourth proportional to 12,305.73, 16,996.08 and 8,963.49 is: 12,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.73 : 16,996.08 = 8,963.49 : x
  2. Step 2: Convert to fraction form
    12,305.73/16,996.08 = 8,963.49/x
  3. Step 3: Cross multiply
    12,305.73x = 16,996.08 × 8,963.49
  4. Step 4: Simplify right side
    12,305.73x = 152,344,193.12
  5. Step 5: Solve for x
    x = 152,344,193.12/12,305.73
  6. Step 6: Final answer
    x = 12,379.94

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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.