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Finding the Fourth Proportional to 31,911.52, 47,866.60 and 8,537.96

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Solution

The fourth proportional to 31,911.52, 47,866.60 and 8,537.96 is: 12,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.52 : 47,866.60 = 8,537.96 : x
  2. Step 2: Convert to fraction form
    31,911.52/47,866.60 = 8,537.96/x
  3. Step 3: Cross multiply
    31,911.52x = 47,866.60 × 8,537.96
  4. Step 4: Simplify right side
    31,911.52x = 408,682,929.20
  5. Step 5: Solve for x
    x = 408,682,929.20/31,911.52
  6. Step 6: Final answer
    x = 12,806.75

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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.