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Finding the Fourth Proportional to 20,544.68, 30,834.51 and 8,073.43

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Solution

The fourth proportional to 20,544.68, 30,834.51 and 8,073.43 is: 12,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.68 : 30,834.51 = 8,073.43 : x
  2. Step 2: Convert to fraction form
    20,544.68/30,834.51 = 8,073.43/x
  3. Step 3: Cross multiply
    20,544.68x = 30,834.51 × 8,073.43
  4. Step 4: Simplify right side
    20,544.68x = 248,940,258.07
  5. Step 5: Solve for x
    x = 248,940,258.07/20,544.68
  6. Step 6: Final answer
    x = 12,117.02

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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.