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Finding the Fourth Proportional to 33,265, 45,905.76 and 18,361

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Solution

The fourth proportional to 33,265, 45,905.76 and 18,361 is: 25,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265 : 45,905.76 = 18,361 : x
  2. Step 2: Convert to fraction form
    33,265/45,905.76 = 18,361/x
  3. Step 3: Cross multiply
    33,265x = 45,905.76 × 18,361
  4. Step 4: Simplify right side
    33,265x = 842,875,659.36
  5. Step 5: Solve for x
    x = 842,875,659.36/33,265
  6. Step 6: Final answer
    x = 25,338.21

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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.