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Finding the Fourth Proportional to 33,766, 50,631.70 and 17,980

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Solution

The fourth proportional to 33,766, 50,631.70 and 17,980 is: 26,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,766 : 50,631.70 = 17,980 : x
  2. Step 2: Convert to fraction form
    33,766/50,631.70 = 17,980/x
  3. Step 3: Cross multiply
    33,766x = 50,631.70 × 17,980
  4. Step 4: Simplify right side
    33,766x = 910,357,966
  5. Step 5: Solve for x
    x = 910,357,966/33,766
  6. Step 6: Final answer
    x = 26,960.79

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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.