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Finding the Fourth Proportional to 27,000, 37,260 and 15,822

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Solution

The fourth proportional to 27,000, 37,260 and 15,822 is: 21,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 37,260 = 15,822 : x
  2. Step 2: Convert to fraction form
    27,000/37,260 = 15,822/x
  3. Step 3: Cross multiply
    27,000x = 37,260 × 15,822
  4. Step 4: Simplify right side
    27,000x = 589,527,720
  5. Step 5: Solve for x
    x = 589,527,720/27,000
  6. Step 6: Final answer
    x = 21,834.36

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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.