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Finding the Fourth Proportional to 18,644.40, 27,977.40 and 6,958.80

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Solution

The fourth proportional to 18,644.40, 27,977.40 and 6,958.80 is: 10,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.40 : 27,977.40 = 6,958.80 : x
  2. Step 2: Convert to fraction form
    18,644.40/27,977.40 = 6,958.80/x
  3. Step 3: Cross multiply
    18,644.40x = 27,977.40 × 6,958.80
  4. Step 4: Simplify right side
    18,644.40x = 194,689,131.12
  5. Step 5: Solve for x
    x = 194,689,131.12/18,644.40
  6. Step 6: Final answer
    x = 10,442.23

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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.