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Finding the Fourth Proportional to 22,117, 30,521.64 and 12,181

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Solution

The fourth proportional to 22,117, 30,521.64 and 12,181 is: 16,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117 : 30,521.64 = 12,181 : x
  2. Step 2: Convert to fraction form
    22,117/30,521.64 = 12,181/x
  3. Step 3: Cross multiply
    22,117x = 30,521.64 × 12,181
  4. Step 4: Simplify right side
    22,117x = 371,784,096.84
  5. Step 5: Solve for x
    x = 371,784,096.84/22,117
  6. Step 6: Final answer
    x = 16,809.88

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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.