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Finding the Fourth Proportional to 20,512.32, 30,768.48 and 6,472.39

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Solution

The fourth proportional to 20,512.32, 30,768.48 and 6,472.39 is: 9,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.32 : 30,768.48 = 6,472.39 : x
  2. Step 2: Convert to fraction form
    20,512.32/30,768.48 = 6,472.39/x
  3. Step 3: Cross multiply
    20,512.32x = 30,768.48 × 6,472.39
  4. Step 4: Simplify right side
    20,512.32x = 199,145,602.27
  5. Step 5: Solve for x
    x = 199,145,602.27/20,512.32
  6. Step 6: Final answer
    x = 9,708.59

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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.