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Finding the Fourth Proportional to 20,632, 30,908.16 and 12,318.68

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Solution

The fourth proportional to 20,632, 30,908.16 and 12,318.68 is: 18,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632 : 30,908.16 = 12,318.68 : x
  2. Step 2: Convert to fraction form
    20,632/30,908.16 = 12,318.68/x
  3. Step 3: Cross multiply
    20,632x = 30,908.16 × 12,318.68
  4. Step 4: Simplify right side
    20,632x = 380,747,732.43
  5. Step 5: Solve for x
    x = 380,747,732.43/20,632
  6. Step 6: Final answer
    x = 18,454.23

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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.