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Finding the Fourth Proportional to 8,102.73, 11,181.78 and 4,376.73

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Solution

The fourth proportional to 8,102.73, 11,181.78 and 4,376.73 is: 6,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.73 : 11,181.78 = 4,376.73 : x
  2. Step 2: Convert to fraction form
    8,102.73/11,181.78 = 4,376.73/x
  3. Step 3: Cross multiply
    8,102.73x = 11,181.78 × 4,376.73
  4. Step 4: Simplify right side
    8,102.73x = 48,939,631.98
  5. Step 5: Solve for x
    x = 48,939,631.98/8,102.73
  6. Step 6: Final answer
    x = 6,039.89

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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.