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Finding the Fourth Proportional to 12,206.98, 16,849.74 and 8,680.42

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Solution

The fourth proportional to 12,206.98, 16,849.74 and 8,680.42 is: 11,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.98 : 16,849.74 = 8,680.42 : x
  2. Step 2: Convert to fraction form
    12,206.98/16,849.74 = 8,680.42/x
  3. Step 3: Cross multiply
    12,206.98x = 16,849.74 × 8,680.42
  4. Step 4: Simplify right side
    12,206.98x = 146,262,820.09
  5. Step 5: Solve for x
    x = 146,262,820.09/12,206.98
  6. Step 6: Final answer
    x = 11,981.90

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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.