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Finding the Fourth Proportional to 33,880, 46,754.40 and 18,976

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Solution

The fourth proportional to 33,880, 46,754.40 and 18,976 is: 26,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,880 : 46,754.40 = 18,976 : x
  2. Step 2: Convert to fraction form
    33,880/46,754.40 = 18,976/x
  3. Step 3: Cross multiply
    33,880x = 46,754.40 × 18,976
  4. Step 4: Simplify right side
    33,880x = 887,211,494.40
  5. Step 5: Solve for x
    x = 887,211,494.40/33,880
  6. Step 6: Final answer
    x = 26,186.88

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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.