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Finding the Fourth Proportional to 31,794.44, 47,692.57 and 8,420.88

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Solution

The fourth proportional to 31,794.44, 47,692.57 and 8,420.88 is: 12,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.44 : 47,692.57 = 8,420.88 : x
  2. Step 2: Convert to fraction form
    31,794.44/47,692.57 = 8,420.88/x
  3. Step 3: Cross multiply
    31,794.44x = 47,692.57 × 8,420.88
  4. Step 4: Simplify right side
    31,794.44x = 401,613,149.35
  5. Step 5: Solve for x
    x = 401,613,149.35/31,794.44
  6. Step 6: Final answer
    x = 12,631.55

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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.