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Finding the Fourth Proportional to 19,680, 27,158.40 and 12,228

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Solution

The fourth proportional to 19,680, 27,158.40 and 12,228 is: 16,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 27,158.40 = 12,228 : x
  2. Step 2: Convert to fraction form
    19,680/27,158.40 = 12,228/x
  3. Step 3: Cross multiply
    19,680x = 27,158.40 × 12,228
  4. Step 4: Simplify right side
    19,680x = 332,092,915.20
  5. Step 5: Solve for x
    x = 332,092,915.20/19,680
  6. Step 6: Final answer
    x = 16,874.64

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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.