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Finding the Fourth Proportional to 18,677.78, 28,020 and 6,198.56

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Solution

The fourth proportional to 18,677.78, 28,020 and 6,198.56 is: 9,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.78 : 28,020 = 6,198.56 : x
  2. Step 2: Convert to fraction form
    18,677.78/28,020 = 6,198.56/x
  3. Step 3: Cross multiply
    18,677.78x = 28,020 × 6,198.56
  4. Step 4: Simplify right side
    18,677.78x = 173,683,651.20
  5. Step 5: Solve for x
    x = 173,683,651.20/18,677.78
  6. Step 6: Final answer
    x = 9,298.95

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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.