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Finding the Fourth Proportional to 20,082.60, 30,082.86 and 9,520.61

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Solution

The fourth proportional to 20,082.60, 30,082.86 and 9,520.61 is: 14,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.60 : 30,082.86 = 9,520.61 : x
  2. Step 2: Convert to fraction form
    20,082.60/30,082.86 = 9,520.61/x
  3. Step 3: Cross multiply
    20,082.60x = 30,082.86 × 9,520.61
  4. Step 4: Simplify right side
    20,082.60x = 286,407,027.33
  5. Step 5: Solve for x
    x = 286,407,027.33/20,082.60
  6. Step 6: Final answer
    x = 14,261.45

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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.