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Finding the Fourth Proportional to 20,642.88, 30,961.44 and 8,328

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Solution

The fourth proportional to 20,642.88, 30,961.44 and 8,328 is: 12,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.88 : 30,961.44 = 8,328 : x
  2. Step 2: Convert to fraction form
    20,642.88/30,961.44 = 8,328/x
  3. Step 3: Cross multiply
    20,642.88x = 30,961.44 × 8,328
  4. Step 4: Simplify right side
    20,642.88x = 257,846,872.32
  5. Step 5: Solve for x
    x = 257,846,872.32/20,642.88
  6. Step 6: Final answer
    x = 12,490.84

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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.