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Finding the Fourth Proportional to 33,786, 46,623.88 and 18,678.16

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Solution

The fourth proportional to 33,786, 46,623.88 and 18,678.16 is: 25,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,786 : 46,623.88 = 18,678.16 : x
  2. Step 2: Convert to fraction form
    33,786/46,623.88 = 18,678.16/x
  3. Step 3: Cross multiply
    33,786x = 46,623.88 × 18,678.16
  4. Step 4: Simplify right side
    33,786x = 870,848,290.46
  5. Step 5: Solve for x
    x = 870,848,290.46/33,786
  6. Step 6: Final answer
    x = 25,775.42

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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.