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Finding the Fourth Proportional to 11,988, 17,982 and 3,222.72

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Solution

The fourth proportional to 11,988, 17,982 and 3,222.72 is: 4,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988 : 17,982 = 3,222.72 : x
  2. Step 2: Convert to fraction form
    11,988/17,982 = 3,222.72/x
  3. Step 3: Cross multiply
    11,988x = 17,982 × 3,222.72
  4. Step 4: Simplify right side
    11,988x = 57,950,951.04
  5. Step 5: Solve for x
    x = 57,950,951.04/11,988
  6. Step 6: Final answer
    x = 4,834.08

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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.