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Finding the Fourth Proportional to 18,847, 28,270.50 and 5,699.08

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Solution

The fourth proportional to 18,847, 28,270.50 and 5,699.08 is: 8,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,847 : 28,270.50 = 5,699.08 : x
  2. Step 2: Convert to fraction form
    18,847/28,270.50 = 5,699.08/x
  3. Step 3: Cross multiply
    18,847x = 28,270.50 × 5,699.08
  4. Step 4: Simplify right side
    18,847x = 161,115,841.14
  5. Step 5: Solve for x
    x = 161,115,841.14/18,847
  6. Step 6: Final answer
    x = 8,548.62

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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.