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Finding the Fourth Proportional to 20,600.20, 30,896.86 and 7,458.76

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Solution

The fourth proportional to 20,600.20, 30,896.86 and 7,458.76 is: 11,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600.20 : 30,896.86 = 7,458.76 : x
  2. Step 2: Convert to fraction form
    20,600.20/30,896.86 = 7,458.76/x
  3. Step 3: Cross multiply
    20,600.20x = 30,896.86 × 7,458.76
  4. Step 4: Simplify right side
    20,600.20x = 230,452,263.49
  5. Step 5: Solve for x
    x = 230,452,263.49/20,600.20
  6. Step 6: Final answer
    x = 11,186.89

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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.