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Finding the Fourth Proportional to 20,000.60, 29,981 and 9,451.94

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Solution

The fourth proportional to 20,000.60, 29,981 and 9,451.94 is: 14,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.60 : 29,981 = 9,451.94 : x
  2. Step 2: Convert to fraction form
    20,000.60/29,981 = 9,451.94/x
  3. Step 3: Cross multiply
    20,000.60x = 29,981 × 9,451.94
  4. Step 4: Simplify right side
    20,000.60x = 283,378,613.14
  5. Step 5: Solve for x
    x = 283,378,613.14/20,000.60
  6. Step 6: Final answer
    x = 14,168.51

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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.