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Finding the Fourth Proportional to 15,000, 20,700 and 8,376

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Solution

The fourth proportional to 15,000, 20,700 and 8,376 is: 11,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000 : 20,700 = 8,376 : x
  2. Step 2: Convert to fraction form
    15,000/20,700 = 8,376/x
  3. Step 3: Cross multiply
    15,000x = 20,700 × 8,376
  4. Step 4: Simplify right side
    15,000x = 173,383,200
  5. Step 5: Solve for x
    x = 173,383,200/15,000
  6. Step 6: Final answer
    x = 11,558.88

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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.