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Finding the Fourth Proportional to 26,618, 39,927.06 and 8,150

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Solution

The fourth proportional to 26,618, 39,927.06 and 8,150 is: 12,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,618 : 39,927.06 = 8,150 : x
  2. Step 2: Convert to fraction form
    26,618/39,927.06 = 8,150/x
  3. Step 3: Cross multiply
    26,618x = 39,927.06 × 8,150
  4. Step 4: Simplify right side
    26,618x = 325,405,539
  5. Step 5: Solve for x
    x = 325,405,539/26,618
  6. Step 6: Final answer
    x = 12,225.02

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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.