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Finding the Fourth Proportional to 12,198.10, 16,838.03 and 7,950.20

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Solution

The fourth proportional to 12,198.10, 16,838.03 and 7,950.20 is: 10,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.10 : 16,838.03 = 7,950.20 : x
  2. Step 2: Convert to fraction form
    12,198.10/16,838.03 = 7,950.20/x
  3. Step 3: Cross multiply
    12,198.10x = 16,838.03 × 7,950.20
  4. Step 4: Simplify right side
    12,198.10x = 133,865,613.74
  5. Step 5: Solve for x
    x = 133,865,613.74/12,198.10
  6. Step 6: Final answer
    x = 10,974.30

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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.