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Finding the Fourth Proportional to 28,092.34, 42,138.78 and 11,449

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Solution

The fourth proportional to 28,092.34, 42,138.78 and 11,449 is: 17,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,092.34 : 42,138.78 = 11,449 : x
  2. Step 2: Convert to fraction form
    28,092.34/42,138.78 = 11,449/x
  3. Step 3: Cross multiply
    28,092.34x = 42,138.78 × 11,449
  4. Step 4: Simplify right side
    28,092.34x = 482,446,892.22
  5. Step 5: Solve for x
    x = 482,446,892.22/28,092.34
  6. Step 6: Final answer
    x = 17,173.61

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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.