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Finding the Fourth Proportional to 20,780, 31,170 and 9,093.22

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Solution

The fourth proportional to 20,780, 31,170 and 9,093.22 is: 13,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780 : 31,170 = 9,093.22 : x
  2. Step 2: Convert to fraction form
    20,780/31,170 = 9,093.22/x
  3. Step 3: Cross multiply
    20,780x = 31,170 × 9,093.22
  4. Step 4: Simplify right side
    20,780x = 283,435,667.40
  5. Step 5: Solve for x
    x = 283,435,667.40/20,780
  6. Step 6: Final answer
    x = 13,639.83

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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.