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Finding the Fourth Proportional to 12,205.78, 16,838.38 and 7,169.90

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Solution

The fourth proportional to 12,205.78, 16,838.38 and 7,169.90 is: 9,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.78 : 16,838.38 = 7,169.90 : x
  2. Step 2: Convert to fraction form
    12,205.78/16,838.38 = 7,169.90/x
  3. Step 3: Cross multiply
    12,205.78x = 16,838.38 × 7,169.90
  4. Step 4: Simplify right side
    12,205.78x = 120,729,500.76
  5. Step 5: Solve for x
    x = 120,729,500.76/12,205.78
  6. Step 6: Final answer
    x = 9,891.17

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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.