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Finding the Fourth Proportional to 12,199.10, 16,839.41 and 7,951.20

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Solution

The fourth proportional to 12,199.10, 16,839.41 and 7,951.20 is: 10,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.10 : 16,839.41 = 7,951.20 : x
  2. Step 2: Convert to fraction form
    12,199.10/16,839.41 = 7,951.20/x
  3. Step 3: Cross multiply
    12,199.10x = 16,839.41 × 7,951.20
  4. Step 4: Simplify right side
    12,199.10x = 133,893,516.79
  5. Step 5: Solve for x
    x = 133,893,516.79/12,199.10
  6. Step 6: Final answer
    x = 10,975.69

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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.