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Finding the Fourth Proportional to 11,997.76, 17,985.12 and 3,784

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Solution

The fourth proportional to 11,997.76, 17,985.12 and 3,784 is: 5,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.76 : 17,985.12 = 3,784 : x
  2. Step 2: Convert to fraction form
    11,997.76/17,985.12 = 3,784/x
  3. Step 3: Cross multiply
    11,997.76x = 17,985.12 × 3,784
  4. Step 4: Simplify right side
    11,997.76x = 68,055,694.08
  5. Step 5: Solve for x
    x = 68,055,694.08/11,997.76
  6. Step 6: Final answer
    x = 5,672.37

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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.