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Finding the Fourth Proportional to 20,201.78, 30,288.09 and 7,719.68

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Solution

The fourth proportional to 20,201.78, 30,288.09 and 7,719.68 is: 11,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.78 : 30,288.09 = 7,719.68 : x
  2. Step 2: Convert to fraction form
    20,201.78/30,288.09 = 7,719.68/x
  3. Step 3: Cross multiply
    20,201.78x = 30,288.09 × 7,719.68
  4. Step 4: Simplify right side
    20,201.78x = 233,814,362.61
  5. Step 5: Solve for x
    x = 233,814,362.61/20,201.78
  6. Step 6: Final answer
    x = 11,573.95

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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.