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Finding the Fourth Proportional to 20,533.85, 30,800.78 and 7,217.30

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Solution

The fourth proportional to 20,533.85, 30,800.78 and 7,217.30 is: 10,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.85 : 30,800.78 = 7,217.30 : x
  2. Step 2: Convert to fraction form
    20,533.85/30,800.78 = 7,217.30/x
  3. Step 3: Cross multiply
    20,533.85x = 30,800.78 × 7,217.30
  4. Step 4: Simplify right side
    20,533.85x = 222,298,469.49
  5. Step 5: Solve for x
    x = 222,298,469.49/20,533.85
  6. Step 6: Final answer
    x = 10,825.95

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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.