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Finding the Fourth Proportional to 20,138.95, 30,210.24 and 8,289.97

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Solution

The fourth proportional to 20,138.95, 30,210.24 and 8,289.97 is: 12,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.95 : 30,210.24 = 8,289.97 : x
  2. Step 2: Convert to fraction form
    20,138.95/30,210.24 = 8,289.97/x
  3. Step 3: Cross multiply
    20,138.95x = 30,210.24 × 8,289.97
  4. Step 4: Simplify right side
    20,138.95x = 250,441,983.29
  5. Step 5: Solve for x
    x = 250,441,983.29/20,138.95
  6. Step 6: Final answer
    x = 12,435.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.