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Finding the Fourth Proportional to 16,420, 24,630 and 4,108

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Solution

The fourth proportional to 16,420, 24,630 and 4,108 is: 6,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420 : 24,630 = 4,108 : x
  2. Step 2: Convert to fraction form
    16,420/24,630 = 4,108/x
  3. Step 3: Cross multiply
    16,420x = 24,630 × 4,108
  4. Step 4: Simplify right side
    16,420x = 101,180,040
  5. Step 5: Solve for x
    x = 101,180,040/16,420
  6. Step 6: Final answer
    x = 6,162

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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.