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Finding the Fourth Proportional to 12,131.76, 18,189 and 9,794.64

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Solution

The fourth proportional to 12,131.76, 18,189 and 9,794.64 is: 14,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.76 : 18,189 = 9,794.64 : x
  2. Step 2: Convert to fraction form
    12,131.76/18,189 = 9,794.64/x
  3. Step 3: Cross multiply
    12,131.76x = 18,189 × 9,794.64
  4. Step 4: Simplify right side
    12,131.76x = 178,154,706.96
  5. Step 5: Solve for x
    x = 178,154,706.96/12,131.76
  6. Step 6: Final answer
    x = 14,684.98

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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.