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Finding the Fourth Proportional to 33,078, 45,647.64 and 18,174

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Solution

The fourth proportional to 33,078, 45,647.64 and 18,174 is: 25,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078 : 45,647.64 = 18,174 : x
  2. Step 2: Convert to fraction form
    33,078/45,647.64 = 18,174/x
  3. Step 3: Cross multiply
    33,078x = 45,647.64 × 18,174
  4. Step 4: Simplify right side
    33,078x = 829,600,209.36
  5. Step 5: Solve for x
    x = 829,600,209.36/33,078
  6. Step 6: Final answer
    x = 25,080.12

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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.