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Finding the Fourth Proportional to 12,191.90, 18,285.54 and 5,945.64

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Solution

The fourth proportional to 12,191.90, 18,285.54 and 5,945.64 is: 8,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.90 : 18,285.54 = 5,945.64 : x
  2. Step 2: Convert to fraction form
    12,191.90/18,285.54 = 5,945.64/x
  3. Step 3: Cross multiply
    12,191.90x = 18,285.54 × 5,945.64
  4. Step 4: Simplify right side
    12,191.90x = 108,719,238.05
  5. Step 5: Solve for x
    x = 108,719,238.05/12,191.90
  6. Step 6: Final answer
    x = 8,917.33

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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.