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Finding the Fourth Proportional to 31,912.80, 47,840.40 and 20,824.80

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Solution

The fourth proportional to 31,912.80, 47,840.40 and 20,824.80 is: 31,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.80 : 47,840.40 = 20,824.80 : x
  2. Step 2: Convert to fraction form
    31,912.80/47,840.40 = 20,824.80/x
  3. Step 3: Cross multiply
    31,912.80x = 47,840.40 × 20,824.80
  4. Step 4: Simplify right side
    31,912.80x = 996,266,761.92
  5. Step 5: Solve for x
    x = 996,266,761.92/31,912.80
  6. Step 6: Final answer
    x = 31,218.41

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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.