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Finding the Fourth Proportional to 16,602.72, 24,910 and 8,282

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Solution

The fourth proportional to 16,602.72, 24,910 and 8,282 is: 12,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.72 : 24,910 = 8,282 : x
  2. Step 2: Convert to fraction form
    16,602.72/24,910 = 8,282/x
  3. Step 3: Cross multiply
    16,602.72x = 24,910 × 8,282
  4. Step 4: Simplify right side
    16,602.72x = 206,304,620
  5. Step 5: Solve for x
    x = 206,304,620/16,602.72
  6. Step 6: Final answer
    x = 12,425.95

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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.