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Finding the Fourth Proportional to 18,830.78, 28,237.31 and 10,935.81

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Solution

The fourth proportional to 18,830.78, 28,237.31 and 10,935.81 is: 16,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.78 : 28,237.31 = 10,935.81 : x
  2. Step 2: Convert to fraction form
    18,830.78/28,237.31 = 10,935.81/x
  3. Step 3: Cross multiply
    18,830.78x = 28,237.31 × 10,935.81
  4. Step 4: Simplify right side
    18,830.78x = 308,797,843.40
  5. Step 5: Solve for x
    x = 308,797,843.40/18,830.78
  6. Step 6: Final answer
    x = 16,398.57

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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.