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Finding the Fourth Proportional to 18,644.50, 27,978.90 and 9,410.50

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Solution

The fourth proportional to 18,644.50, 27,978.90 and 9,410.50 is: 14,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.50 : 27,978.90 = 9,410.50 : x
  2. Step 2: Convert to fraction form
    18,644.50/27,978.90 = 9,410.50/x
  3. Step 3: Cross multiply
    18,644.50x = 27,978.90 × 9,410.50
  4. Step 4: Simplify right side
    18,644.50x = 263,295,438.45
  5. Step 5: Solve for x
    x = 263,295,438.45/18,644.50
  6. Step 6: Final answer
    x = 14,121.88

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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.