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Finding the Fourth Proportional to 14,913.14, 20,578.92 and 8,198.60

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Solution

The fourth proportional to 14,913.14, 20,578.92 and 8,198.60 is: 11,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.14 : 20,578.92 = 8,198.60 : x
  2. Step 2: Convert to fraction form
    14,913.14/20,578.92 = 8,198.60/x
  3. Step 3: Cross multiply
    14,913.14x = 20,578.92 × 8,198.60
  4. Step 4: Simplify right side
    14,913.14x = 168,718,230.62
  5. Step 5: Solve for x
    x = 168,718,230.62/14,913.14
  6. Step 6: Final answer
    x = 11,313.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.