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Finding the Fourth Proportional to 20,578.80, 30,867.34 and 8,729.32

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Solution

The fourth proportional to 20,578.80, 30,867.34 and 8,729.32 is: 13,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.80 : 30,867.34 = 8,729.32 : x
  2. Step 2: Convert to fraction form
    20,578.80/30,867.34 = 8,729.32/x
  3. Step 3: Cross multiply
    20,578.80x = 30,867.34 × 8,729.32
  4. Step 4: Simplify right side
    20,578.80x = 269,450,888.41
  5. Step 5: Solve for x
    x = 269,450,888.41/20,578.80
  6. Step 6: Final answer
    x = 13,093.62

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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.