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Finding the Fourth Proportional to 33,028, 45,578.64 and 18,124

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Solution

The fourth proportional to 33,028, 45,578.64 and 18,124 is: 25,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028 : 45,578.64 = 18,124 : x
  2. Step 2: Convert to fraction form
    33,028/45,578.64 = 18,124/x
  3. Step 3: Cross multiply
    33,028x = 45,578.64 × 18,124
  4. Step 4: Simplify right side
    33,028x = 826,067,271.36
  5. Step 5: Solve for x
    x = 826,067,271.36/33,028
  6. Step 6: Final answer
    x = 25,011.12

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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.