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Finding the Fourth Proportional to 31,379, 47,072.90 and 9,193.96

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Solution

The fourth proportional to 31,379, 47,072.90 and 9,193.96 is: 13,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379 : 47,072.90 = 9,193.96 : x
  2. Step 2: Convert to fraction form
    31,379/47,072.90 = 9,193.96/x
  3. Step 3: Cross multiply
    31,379x = 47,072.90 × 9,193.96
  4. Step 4: Simplify right side
    31,379x = 432,786,359.68
  5. Step 5: Solve for x
    x = 432,786,359.68/31,379
  6. Step 6: Final answer
    x = 13,792.23

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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.