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Finding the Fourth Proportional to 33,295, 45,947.10 and 18,391

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Solution

The fourth proportional to 33,295, 45,947.10 and 18,391 is: 25,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,295 : 45,947.10 = 18,391 : x
  2. Step 2: Convert to fraction form
    33,295/45,947.10 = 18,391/x
  3. Step 3: Cross multiply
    33,295x = 45,947.10 × 18,391
  4. Step 4: Simplify right side
    33,295x = 845,013,116.10
  5. Step 5: Solve for x
    x = 845,013,116.10/33,295
  6. Step 6: Final answer
    x = 25,379.58

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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.