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Finding the Fourth Proportional to 25,983.62, 38,978.87 and 8,447.50

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Solution

The fourth proportional to 25,983.62, 38,978.87 and 8,447.50 is: 12,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983.62 : 38,978.87 = 8,447.50 : x
  2. Step 2: Convert to fraction form
    25,983.62/38,978.87 = 8,447.50/x
  3. Step 3: Cross multiply
    25,983.62x = 38,978.87 × 8,447.50
  4. Step 4: Simplify right side
    25,983.62x = 329,274,004.33
  5. Step 5: Solve for x
    x = 329,274,004.33/25,983.62
  6. Step 6: Final answer
    x = 12,672.37

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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.