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Finding the Fourth Proportional to 31,450.35, 47,176 and 8,076.27

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Solution

The fourth proportional to 31,450.35, 47,176 and 8,076.27 is: 12,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.35 : 47,176 = 8,076.27 : x
  2. Step 2: Convert to fraction form
    31,450.35/47,176 = 8,076.27/x
  3. Step 3: Cross multiply
    31,450.35x = 47,176 × 8,076.27
  4. Step 4: Simplify right side
    31,450.35x = 381,006,113.52
  5. Step 5: Solve for x
    x = 381,006,113.52/31,450.35
  6. Step 6: Final answer
    x = 12,114.53

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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.