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Finding the Fourth Proportional to 31,841.52, 47,758.64 and 8,469.76

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Solution

The fourth proportional to 31,841.52, 47,758.64 and 8,469.76 is: 12,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.52 : 47,758.64 = 8,469.76 : x
  2. Step 2: Convert to fraction form
    31,841.52/47,758.64 = 8,469.76/x
  3. Step 3: Cross multiply
    31,841.52x = 47,758.64 × 8,469.76
  4. Step 4: Simplify right side
    31,841.52x = 404,504,218.73
  5. Step 5: Solve for x
    x = 404,504,218.73/31,841.52
  6. Step 6: Final answer
    x = 12,703.67

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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.