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Finding the Fourth Proportional to 31,911.54, 47,863.64 and 8,539.80

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Solution

The fourth proportional to 31,911.54, 47,863.64 and 8,539.80 is: 12,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.54 : 47,863.64 = 8,539.80 : x
  2. Step 2: Convert to fraction form
    31,911.54/47,863.64 = 8,539.80/x
  3. Step 3: Cross multiply
    31,911.54x = 47,863.64 × 8,539.80
  4. Step 4: Simplify right side
    31,911.54x = 408,745,912.87
  5. Step 5: Solve for x
    x = 408,745,912.87/31,911.54
  6. Step 6: Final answer
    x = 12,808.72

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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.