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Finding the Fourth Proportional to 31,480.70, 47,230.16 and 10,704.20

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Solution

The fourth proportional to 31,480.70, 47,230.16 and 10,704.20 is: 16,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.70 : 47,230.16 = 10,704.20 : x
  2. Step 2: Convert to fraction form
    31,480.70/47,230.16 = 10,704.20/x
  3. Step 3: Cross multiply
    31,480.70x = 47,230.16 × 10,704.20
  4. Step 4: Simplify right side
    31,480.70x = 505,560,789.00
  5. Step 5: Solve for x
    x = 505,560,789.00/31,480.70
  6. Step 6: Final answer
    x = 16,059.39

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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.