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Finding the Fourth Proportional to 31,879.86, 47,769.80 and 20,168.34

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Solution

The fourth proportional to 31,879.86, 47,769.80 and 20,168.34 is: 30,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.86 : 47,769.80 = 20,168.34 : x
  2. Step 2: Convert to fraction form
    31,879.86/47,769.80 = 20,168.34/x
  3. Step 3: Cross multiply
    31,879.86x = 47,769.80 × 20,168.34
  4. Step 4: Simplify right side
    31,879.86x = 963,437,568.13
  5. Step 5: Solve for x
    x = 963,437,568.13/31,879.86
  6. Step 6: Final answer
    x = 30,220.88

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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.