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Finding the Fourth Proportional to 32,729, 49,093.50 and 8,105

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Solution

The fourth proportional to 32,729, 49,093.50 and 8,105 is: 12,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729 : 49,093.50 = 8,105 : x
  2. Step 2: Convert to fraction form
    32,729/49,093.50 = 8,105/x
  3. Step 3: Cross multiply
    32,729x = 49,093.50 × 8,105
  4. Step 4: Simplify right side
    32,729x = 397,902,817.50
  5. Step 5: Solve for x
    x = 397,902,817.50/32,729
  6. Step 6: Final answer
    x = 12,157.50

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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.