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Finding the Fourth Proportional to 12,229.22, 16,864.74 and 8,205.14

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Solution

The fourth proportional to 12,229.22, 16,864.74 and 8,205.14 is: 11,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.22 : 16,864.74 = 8,205.14 : x
  2. Step 2: Convert to fraction form
    12,229.22/16,864.74 = 8,205.14/x
  3. Step 3: Cross multiply
    12,229.22x = 16,864.74 × 8,205.14
  4. Step 4: Simplify right side
    12,229.22x = 138,377,552.76
  5. Step 5: Solve for x
    x = 138,377,552.76/12,229.22
  6. Step 6: Final answer
    x = 11,315.32

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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.