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Finding the Fourth Proportional to 20,709.37, 31,060.81 and 6,858.37

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Solution

The fourth proportional to 20,709.37, 31,060.81 and 6,858.37 is: 10,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.37 : 31,060.81 = 6,858.37 : x
  2. Step 2: Convert to fraction form
    20,709.37/31,060.81 = 6,858.37/x
  3. Step 3: Cross multiply
    20,709.37x = 31,060.81 × 6,858.37
  4. Step 4: Simplify right side
    20,709.37x = 213,026,527.48
  5. Step 5: Solve for x
    x = 213,026,527.48/20,709.37
  6. Step 6: Final answer
    x = 10,286.48

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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.