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Finding the Fourth Proportional to 33,072, 45,645.84 and 20,329.20

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Solution

The fourth proportional to 33,072, 45,645.84 and 20,329.20 is: 28,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072 : 45,645.84 = 20,329.20 : x
  2. Step 2: Convert to fraction form
    33,072/45,645.84 = 20,329.20/x
  3. Step 3: Cross multiply
    33,072x = 45,645.84 × 20,329.20
  4. Step 4: Simplify right side
    33,072x = 927,943,410.53
  5. Step 5: Solve for x
    x = 927,943,410.53/33,072
  6. Step 6: Final answer
    x = 28,058.28

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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.