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Finding the Fourth Proportional to 12,206.73, 16,839.11 and 7,722.93

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Solution

The fourth proportional to 12,206.73, 16,839.11 and 7,722.93 is: 10,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.73 : 16,839.11 = 7,722.93 : x
  2. Step 2: Convert to fraction form
    12,206.73/16,839.11 = 7,722.93/x
  3. Step 3: Cross multiply
    12,206.73x = 16,839.11 × 7,722.93
  4. Step 4: Simplify right side
    12,206.73x = 130,047,229.18
  5. Step 5: Solve for x
    x = 130,047,229.18/12,206.73
  6. Step 6: Final answer
    x = 10,653.73

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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.