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Finding the Fourth Proportional to 22,305.89, 30,780.59 and 12,234.11

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Solution

The fourth proportional to 22,305.89, 30,780.59 and 12,234.11 is: 16,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.89 : 30,780.59 = 12,234.11 : x
  2. Step 2: Convert to fraction form
    22,305.89/30,780.59 = 12,234.11/x
  3. Step 3: Cross multiply
    22,305.89x = 30,780.59 × 12,234.11
  4. Step 4: Simplify right side
    22,305.89x = 376,572,908.85
  5. Step 5: Solve for x
    x = 376,572,908.85/22,305.89
  6. Step 6: Final answer
    x = 16,882.22

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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.