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Finding the Fourth Proportional to 31,771, 47,659.74 and 10,994.44

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Solution

The fourth proportional to 31,771, 47,659.74 and 10,994.44 is: 16,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771 : 47,659.74 = 10,994.44 : x
  2. Step 2: Convert to fraction form
    31,771/47,659.74 = 10,994.44/x
  3. Step 3: Cross multiply
    31,771x = 47,659.74 × 10,994.44
  4. Step 4: Simplify right side
    31,771x = 523,992,151.85
  5. Step 5: Solve for x
    x = 523,992,151.85/31,771
  6. Step 6: Final answer
    x = 16,492.78

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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.