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Finding the Fourth Proportional to 16,000, 22,080 and 9,376

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Solution

The fourth proportional to 16,000, 22,080 and 9,376 is: 12,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000 : 22,080 = 9,376 : x
  2. Step 2: Convert to fraction form
    16,000/22,080 = 9,376/x
  3. Step 3: Cross multiply
    16,000x = 22,080 × 9,376
  4. Step 4: Simplify right side
    16,000x = 207,022,080
  5. Step 5: Solve for x
    x = 207,022,080/16,000
  6. Step 6: Final answer
    x = 12,938.88

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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.