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Finding the Fourth Proportional to 20,615.76, 30,928.12 and 6,764.24

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Solution

The fourth proportional to 20,615.76, 30,928.12 and 6,764.24 is: 10,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.76 : 30,928.12 = 6,764.24 : x
  2. Step 2: Convert to fraction form
    20,615.76/30,928.12 = 6,764.24/x
  3. Step 3: Cross multiply
    20,615.76x = 30,928.12 × 6,764.24
  4. Step 4: Simplify right side
    20,615.76x = 209,205,226.43
  5. Step 5: Solve for x
    x = 209,205,226.43/20,615.76
  6. Step 6: Final answer
    x = 10,147.83

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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.