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Finding the Fourth Proportional to 20,578.34, 30,880.12 and 8,891.30

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Solution

The fourth proportional to 20,578.34, 30,880.12 and 8,891.30 is: 13,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.34 : 30,880.12 = 8,891.30 : x
  2. Step 2: Convert to fraction form
    20,578.34/30,880.12 = 8,891.30/x
  3. Step 3: Cross multiply
    20,578.34x = 30,880.12 × 8,891.30
  4. Step 4: Simplify right side
    20,578.34x = 274,564,410.96
  5. Step 5: Solve for x
    x = 274,564,410.96/20,578.34
  6. Step 6: Final answer
    x = 13,342.40

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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.