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Finding the Fourth Proportional to 25,896, 38,843.84 and 6,661.72

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Solution

The fourth proportional to 25,896, 38,843.84 and 6,661.72 is: 9,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896 : 38,843.84 = 6,661.72 : x
  2. Step 2: Convert to fraction form
    25,896/38,843.84 = 6,661.72/x
  3. Step 3: Cross multiply
    25,896x = 38,843.84 × 6,661.72
  4. Step 4: Simplify right side
    25,896x = 258,766,785.80
  5. Step 5: Solve for x
    x = 258,766,785.80/25,896
  6. Step 6: Final answer
    x = 9,992.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.