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Finding the Fourth Proportional to 31,394.72, 47,092.04 and 8,021.16

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Solution

The fourth proportional to 31,394.72, 47,092.04 and 8,021.16 is: 12,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.72 : 47,092.04 = 8,021.16 : x
  2. Step 2: Convert to fraction form
    31,394.72/47,092.04 = 8,021.16/x
  3. Step 3: Cross multiply
    31,394.72x = 47,092.04 × 8,021.16
  4. Step 4: Simplify right side
    31,394.72x = 377,732,787.57
  5. Step 5: Solve for x
    x = 377,732,787.57/31,394.72
  6. Step 6: Final answer
    x = 12,031.73

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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.