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Finding the Fourth Proportional to 20,251, 30,390 and 7,781.32

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Solution

The fourth proportional to 20,251, 30,390 and 7,781.32 is: 11,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251 : 30,390 = 7,781.32 : x
  2. Step 2: Convert to fraction form
    20,251/30,390 = 7,781.32/x
  3. Step 3: Cross multiply
    20,251x = 30,390 × 7,781.32
  4. Step 4: Simplify right side
    20,251x = 236,474,314.80
  5. Step 5: Solve for x
    x = 236,474,314.80/20,251
  6. Step 6: Final answer
    x = 11,677.17

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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.