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Finding the Fourth Proportional to 20,321.34, 30,473.88 and 7,834.44

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Solution

The fourth proportional to 20,321.34, 30,473.88 and 7,834.44 is: 11,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,321.34 : 30,473.88 = 7,834.44 : x
  2. Step 2: Convert to fraction form
    20,321.34/30,473.88 = 7,834.44/x
  3. Step 3: Cross multiply
    20,321.34x = 30,473.88 × 7,834.44
  4. Step 4: Simplify right side
    20,321.34x = 238,745,784.43
  5. Step 5: Solve for x
    x = 238,745,784.43/20,321.34
  6. Step 6: Final answer
    x = 11,748.53

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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.