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Finding the Fourth Proportional to 18,768.80, 28,149.76 and 6,920

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Solution

The fourth proportional to 18,768.80, 28,149.76 and 6,920 is: 10,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,768.80 : 28,149.76 = 6,920 : x
  2. Step 2: Convert to fraction form
    18,768.80/28,149.76 = 6,920/x
  3. Step 3: Cross multiply
    18,768.80x = 28,149.76 × 6,920
  4. Step 4: Simplify right side
    18,768.80x = 194,796,339.20
  5. Step 5: Solve for x
    x = 194,796,339.20/18,768.80
  6. Step 6: Final answer
    x = 10,378.73

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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.