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Finding the Fourth Proportional to 20,093.76, 30,142.88 and 6,944.64

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Solution

The fourth proportional to 20,093.76, 30,142.88 and 6,944.64 is: 10,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.76 : 30,142.88 = 6,944.64 : x
  2. Step 2: Convert to fraction form
    20,093.76/30,142.88 = 6,944.64/x
  3. Step 3: Cross multiply
    20,093.76x = 30,142.88 × 6,944.64
  4. Step 4: Simplify right side
    20,093.76x = 209,331,450.16
  5. Step 5: Solve for x
    x = 209,331,450.16/20,093.76
  6. Step 6: Final answer
    x = 10,417.73

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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.