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Finding the Fourth Proportional to 33,810, 46,657.80 and 18,906

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Solution

The fourth proportional to 33,810, 46,657.80 and 18,906 is: 26,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810 : 46,657.80 = 18,906 : x
  2. Step 2: Convert to fraction form
    33,810/46,657.80 = 18,906/x
  3. Step 3: Cross multiply
    33,810x = 46,657.80 × 18,906
  4. Step 4: Simplify right side
    33,810x = 882,112,366.80
  5. Step 5: Solve for x
    x = 882,112,366.80/33,810
  6. Step 6: Final answer
    x = 26,090.28

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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.