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Finding the Fourth Proportional to 20,201.25, 30,305.16 and 5,971.17

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Solution

The fourth proportional to 20,201.25, 30,305.16 and 5,971.17 is: 8,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.25 : 30,305.16 = 5,971.17 : x
  2. Step 2: Convert to fraction form
    20,201.25/30,305.16 = 5,971.17/x
  3. Step 3: Cross multiply
    20,201.25x = 30,305.16 × 5,971.17
  4. Step 4: Simplify right side
    20,201.25x = 180,957,262.24
  5. Step 5: Solve for x
    x = 180,957,262.24/20,201.25
  6. Step 6: Final answer
    x = 8,957.73

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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.