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Finding the Fourth Proportional to 20,181.78, 27,840.42 and 11,793.42

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Solution

The fourth proportional to 20,181.78, 27,840.42 and 11,793.42 is: 16,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.78 : 27,840.42 = 11,793.42 : x
  2. Step 2: Convert to fraction form
    20,181.78/27,840.42 = 11,793.42/x
  3. Step 3: Cross multiply
    20,181.78x = 27,840.42 × 11,793.42
  4. Step 4: Simplify right side
    20,181.78x = 328,333,766.04
  5. Step 5: Solve for x
    x = 328,333,766.04/20,181.78
  6. Step 6: Final answer
    x = 16,268.82

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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.