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Finding the Fourth Proportional to 22,206, 30,644.64 and 12,270

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Solution

The fourth proportional to 22,206, 30,644.64 and 12,270 is: 16,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206 : 30,644.64 = 12,270 : x
  2. Step 2: Convert to fraction form
    22,206/30,644.64 = 12,270/x
  3. Step 3: Cross multiply
    22,206x = 30,644.64 × 12,270
  4. Step 4: Simplify right side
    22,206x = 376,009,732.80
  5. Step 5: Solve for x
    x = 376,009,732.80/22,206
  6. Step 6: Final answer
    x = 16,932.80

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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.