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Finding the Fourth Proportional to 20,728.68, 31,096.38 and 8,248.68

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Solution

The fourth proportional to 20,728.68, 31,096.38 and 8,248.68 is: 12,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.68 : 31,096.38 = 8,248.68 : x
  2. Step 2: Convert to fraction form
    20,728.68/31,096.38 = 8,248.68/x
  3. Step 3: Cross multiply
    20,728.68x = 31,096.38 × 8,248.68
  4. Step 4: Simplify right side
    20,728.68x = 256,504,087.78
  5. Step 5: Solve for x
    x = 256,504,087.78/20,728.68
  6. Step 6: Final answer
    x = 12,374.36

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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.