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Finding the Fourth Proportional to 27,890, 38,496.84 and 17,954

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Solution

The fourth proportional to 27,890, 38,496.84 and 17,954 is: 24,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,890 : 38,496.84 = 17,954 : x
  2. Step 2: Convert to fraction form
    27,890/38,496.84 = 17,954/x
  3. Step 3: Cross multiply
    27,890x = 38,496.84 × 17,954
  4. Step 4: Simplify right side
    27,890x = 691,172,265.36
  5. Step 5: Solve for x
    x = 691,172,265.36/27,890
  6. Step 6: Final answer
    x = 24,782.08

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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.