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Finding the Fourth Proportional to 29,181.12, 43,768 and 8,122.74

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Solution

The fourth proportional to 29,181.12, 43,768 and 8,122.74 is: 12,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,181.12 : 43,768 = 8,122.74 : x
  2. Step 2: Convert to fraction form
    29,181.12/43,768 = 8,122.74/x
  3. Step 3: Cross multiply
    29,181.12x = 43,768 × 8,122.74
  4. Step 4: Simplify right side
    29,181.12x = 355,516,084.32
  5. Step 5: Solve for x
    x = 355,516,084.32/29,181.12
  6. Step 6: Final answer
    x = 12,183.09

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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.