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Finding the Fourth Proportional to 12,185.70, 16,800 and 9,147.96

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Solution

The fourth proportional to 12,185.70, 16,800 and 9,147.96 is: 12,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.70 : 16,800 = 9,147.96 : x
  2. Step 2: Convert to fraction form
    12,185.70/16,800 = 9,147.96/x
  3. Step 3: Cross multiply
    12,185.70x = 16,800 × 9,147.96
  4. Step 4: Simplify right side
    12,185.70x = 153,685,728
  5. Step 5: Solve for x
    x = 153,685,728/12,185.70
  6. Step 6: Final answer
    x = 12,611.97

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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.