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Finding the Fourth Proportional to 31,903.92, 47,855.88 and 8,529.75

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Solution

The fourth proportional to 31,903.92, 47,855.88 and 8,529.75 is: 12,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.92 : 47,855.88 = 8,529.75 : x
  2. Step 2: Convert to fraction form
    31,903.92/47,855.88 = 8,529.75/x
  3. Step 3: Cross multiply
    31,903.92x = 47,855.88 × 8,529.75
  4. Step 4: Simplify right side
    31,903.92x = 408,198,692.43
  5. Step 5: Solve for x
    x = 408,198,692.43/31,903.92
  6. Step 6: Final answer
    x = 12,794.63

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1.5x scale

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.