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Finding the Fourth Proportional to 22,247, 30,700.86 and 12,311

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Solution

The fourth proportional to 22,247, 30,700.86 and 12,311 is: 16,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,247 : 30,700.86 = 12,311 : x
  2. Step 2: Convert to fraction form
    22,247/30,700.86 = 12,311/x
  3. Step 3: Cross multiply
    22,247x = 30,700.86 × 12,311
  4. Step 4: Simplify right side
    22,247x = 377,958,287.46
  5. Step 5: Solve for x
    x = 377,958,287.46/22,247
  6. Step 6: Final answer
    x = 16,989.18

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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.