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Finding the Fourth Proportional to 28,003.50, 42,006.06 and 7,227

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Solution

The fourth proportional to 28,003.50, 42,006.06 and 7,227 is: 10,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,003.50 : 42,006.06 = 7,227 : x
  2. Step 2: Convert to fraction form
    28,003.50/42,006.06 = 7,227/x
  3. Step 3: Cross multiply
    28,003.50x = 42,006.06 × 7,227
  4. Step 4: Simplify right side
    28,003.50x = 303,577,795.62
  5. Step 5: Solve for x
    x = 303,577,795.62/28,003.50
  6. Step 6: Final answer
    x = 10,840.71

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1.5x scale

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.