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Finding the Fourth Proportional to 31,865.78, 47,793.20 and 8,486.76

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Solution

The fourth proportional to 31,865.78, 47,793.20 and 8,486.76 is: 12,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865.78 : 47,793.20 = 8,486.76 : x
  2. Step 2: Convert to fraction form
    31,865.78/47,793.20 = 8,486.76/x
  3. Step 3: Cross multiply
    31,865.78x = 47,793.20 × 8,486.76
  4. Step 4: Simplify right side
    31,865.78x = 405,609,418.03
  5. Step 5: Solve for x
    x = 405,609,418.03/31,865.78
  6. Step 6: Final answer
    x = 12,728.68

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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.