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Finding the Fourth Proportional to 20,729.70, 31,105.98 and 9,641.70

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Solution

The fourth proportional to 20,729.70, 31,105.98 and 9,641.70 is: 14,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.70 : 31,105.98 = 9,641.70 : x
  2. Step 2: Convert to fraction form
    20,729.70/31,105.98 = 9,641.70/x
  3. Step 3: Cross multiply
    20,729.70x = 31,105.98 × 9,641.70
  4. Step 4: Simplify right side
    20,729.70x = 299,914,527.37
  5. Step 5: Solve for x
    x = 299,914,527.37/20,729.70
  6. Step 6: Final answer
    x = 14,467.87

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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.