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Finding the Fourth Proportional to 20,234.80, 30,352.20 and 7,085.46

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Solution

The fourth proportional to 20,234.80, 30,352.20 and 7,085.46 is: 10,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.80 : 30,352.20 = 7,085.46 : x
  2. Step 2: Convert to fraction form
    20,234.80/30,352.20 = 7,085.46/x
  3. Step 3: Cross multiply
    20,234.80x = 30,352.20 × 7,085.46
  4. Step 4: Simplify right side
    20,234.80x = 215,059,299.01
  5. Step 5: Solve for x
    x = 215,059,299.01/20,234.80
  6. Step 6: Final answer
    x = 10,628.19

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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.