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Finding the Fourth Proportional to 25,791.32, 38,684.40 and 8,256.44

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Solution

The fourth proportional to 25,791.32, 38,684.40 and 8,256.44 is: 12,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791.32 : 38,684.40 = 8,256.44 : x
  2. Step 2: Convert to fraction form
    25,791.32/38,684.40 = 8,256.44/x
  3. Step 3: Cross multiply
    25,791.32x = 38,684.40 × 8,256.44
  4. Step 4: Simplify right side
    25,791.32x = 319,395,427.54
  5. Step 5: Solve for x
    x = 319,395,427.54/25,791.32
  6. Step 6: Final answer
    x = 12,383.83

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1.5x scale

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.