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Finding the Fourth Proportional to 25,414.83, 38,127.31 and 7,884

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Solution

The fourth proportional to 25,414.83, 38,127.31 and 7,884 is: 11,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.83 : 38,127.31 = 7,884 : x
  2. Step 2: Convert to fraction form
    25,414.83/38,127.31 = 7,884/x
  3. Step 3: Cross multiply
    25,414.83x = 38,127.31 × 7,884
  4. Step 4: Simplify right side
    25,414.83x = 300,595,692.33
  5. Step 5: Solve for x
    x = 300,595,692.33/25,414.83
  6. Step 6: Final answer
    x = 11,827.57

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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.