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Finding the Fourth Proportional to 12,304, 16,983.66 and 8,002.88

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Solution

The fourth proportional to 12,304, 16,983.66 and 8,002.88 is: 11,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304 : 16,983.66 = 8,002.88 : x
  2. Step 2: Convert to fraction form
    12,304/16,983.66 = 8,002.88/x
  3. Step 3: Cross multiply
    12,304x = 16,983.66 × 8,002.88
  4. Step 4: Simplify right side
    12,304x = 135,918,192.94
  5. Step 5: Solve for x
    x = 135,918,192.94/12,304
  6. Step 6: Final answer
    x = 11,046.67

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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.