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Finding the Fourth Proportional to 18,000, 27,001.41 and 4,852.17

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Solution

The fourth proportional to 18,000, 27,001.41 and 4,852.17 is: 7,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000 : 27,001.41 = 4,852.17 : x
  2. Step 2: Convert to fraction form
    18,000/27,001.41 = 4,852.17/x
  3. Step 3: Cross multiply
    18,000x = 27,001.41 × 4,852.17
  4. Step 4: Simplify right side
    18,000x = 131,015,431.56
  5. Step 5: Solve for x
    x = 131,015,431.56/18,000
  6. Step 6: Final answer
    x = 7,278.64

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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.