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Finding the Fourth Proportional to 23,192, 34,788 and 10,880

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Solution

The fourth proportional to 23,192, 34,788 and 10,880 is: 16,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192 : 34,788 = 10,880 : x
  2. Step 2: Convert to fraction form
    23,192/34,788 = 10,880/x
  3. Step 3: Cross multiply
    23,192x = 34,788 × 10,880
  4. Step 4: Simplify right side
    23,192x = 378,493,440
  5. Step 5: Solve for x
    x = 378,493,440/23,192
  6. Step 6: Final answer
    x = 16,320

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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.