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Finding the Fourth Proportional to 12,191.11, 18,261.14 and 7,786.15

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Solution

The fourth proportional to 12,191.11, 18,261.14 and 7,786.15 is: 11,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.11 : 18,261.14 = 7,786.15 : x
  2. Step 2: Convert to fraction form
    12,191.11/18,261.14 = 7,786.15/x
  3. Step 3: Cross multiply
    12,191.11x = 18,261.14 × 7,786.15
  4. Step 4: Simplify right side
    12,191.11x = 142,183,883.91
  5. Step 5: Solve for x
    x = 142,183,883.91/12,191.11
  6. Step 6: Final answer
    x = 11,662.92

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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.