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Finding the Fourth Proportional to 18,645.40, 27,978.90 and 6,959.80

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Solution

The fourth proportional to 18,645.40, 27,978.90 and 6,959.80 is: 10,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.40 : 27,978.90 = 6,959.80 : x
  2. Step 2: Convert to fraction form
    18,645.40/27,978.90 = 6,959.80/x
  3. Step 3: Cross multiply
    18,645.40x = 27,978.90 × 6,959.80
  4. Step 4: Simplify right side
    18,645.40x = 194,727,548.22
  5. Step 5: Solve for x
    x = 194,727,548.22/18,645.40
  6. Step 6: Final answer
    x = 10,443.73

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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.