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Finding the Fourth Proportional to 29,115, 43,672.50 and 7,227

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Solution

The fourth proportional to 29,115, 43,672.50 and 7,227 is: 10,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,115 : 43,672.50 = 7,227 : x
  2. Step 2: Convert to fraction form
    29,115/43,672.50 = 7,227/x
  3. Step 3: Cross multiply
    29,115x = 43,672.50 × 7,227
  4. Step 4: Simplify right side
    29,115x = 315,621,157.50
  5. Step 5: Solve for x
    x = 315,621,157.50/29,115
  6. Step 6: Final answer
    x = 10,840.50

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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.