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Finding the Fourth Proportional to 18,001, 27,001.50 and 5,689

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Solution

The fourth proportional to 18,001, 27,001.50 and 5,689 is: 8,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,001 : 27,001.50 = 5,689 : x
  2. Step 2: Convert to fraction form
    18,001/27,001.50 = 5,689/x
  3. Step 3: Cross multiply
    18,001x = 27,001.50 × 5,689
  4. Step 4: Simplify right side
    18,001x = 153,611,533.50
  5. Step 5: Solve for x
    x = 153,611,533.50/18,001
  6. Step 6: Final answer
    x = 8,533.50

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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.