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Finding the Fourth Proportional to 12,304, 18,425.84 and 11,120.64

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Solution

The fourth proportional to 12,304, 18,425.84 and 11,120.64 is: 16,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304 : 18,425.84 = 11,120.64 : x
  2. Step 2: Convert to fraction form
    12,304/18,425.84 = 11,120.64/x
  3. Step 3: Cross multiply
    12,304x = 18,425.84 × 11,120.64
  4. Step 4: Simplify right side
    12,304x = 204,907,133.34
  5. Step 5: Solve for x
    x = 204,907,133.34/12,304
  6. Step 6: Final answer
    x = 16,653.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.