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Finding the Fourth Proportional to 14,636.57, 20,198.54 and 7,922.21

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Solution

The fourth proportional to 14,636.57, 20,198.54 and 7,922.21 is: 10,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.57 : 20,198.54 = 7,922.21 : x
  2. Step 2: Convert to fraction form
    14,636.57/20,198.54 = 7,922.21/x
  3. Step 3: Cross multiply
    14,636.57x = 20,198.54 × 7,922.21
  4. Step 4: Simplify right side
    14,636.57x = 160,016,972.11
  5. Step 5: Solve for x
    x = 160,016,972.11/14,636.57
  6. Step 6: Final answer
    x = 10,932.68

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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.