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Finding the Fourth Proportional to 12,331, 18,497.94 and 4,123

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Solution

The fourth proportional to 12,331, 18,497.94 and 4,123 is: 6,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331 : 18,497.94 = 4,123 : x
  2. Step 2: Convert to fraction form
    12,331/18,497.94 = 4,123/x
  3. Step 3: Cross multiply
    12,331x = 18,497.94 × 4,123
  4. Step 4: Simplify right side
    12,331x = 76,267,006.62
  5. Step 5: Solve for x
    x = 76,267,006.62/12,331
  6. Step 6: Final answer
    x = 6,184.98

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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.