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Finding the Fourth Proportional to 8,137.92, 12,206.79 and 1,981.92

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Solution

The fourth proportional to 8,137.92, 12,206.79 and 1,981.92 is: 2,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.92 : 12,206.79 = 1,981.92 : x
  2. Step 2: Convert to fraction form
    8,137.92/12,206.79 = 1,981.92/x
  3. Step 3: Cross multiply
    8,137.92x = 12,206.79 × 1,981.92
  4. Step 4: Simplify right side
    8,137.92x = 24,192,881.24
  5. Step 5: Solve for x
    x = 24,192,881.24/8,137.92
  6. Step 6: Final answer
    x = 2,972.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.