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Finding the Fourth Proportional to 31,751, 47,627.64 and 12,031

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Solution

The fourth proportional to 31,751, 47,627.64 and 12,031 is: 18,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751 : 47,627.64 = 12,031 : x
  2. Step 2: Convert to fraction form
    31,751/47,627.64 = 12,031/x
  3. Step 3: Cross multiply
    31,751x = 47,627.64 × 12,031
  4. Step 4: Simplify right side
    31,751x = 573,008,136.84
  5. Step 5: Solve for x
    x = 573,008,136.84/31,751
  6. Step 6: Final answer
    x = 18,046.93

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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.