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Finding the Fourth Proportional to 20,834, 31,251 and 6,242

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Solution

The fourth proportional to 20,834, 31,251 and 6,242 is: 9,363

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834 : 31,251 = 6,242 : x
  2. Step 2: Convert to fraction form
    20,834/31,251 = 6,242/x
  3. Step 3: Cross multiply
    20,834x = 31,251 × 6,242
  4. Step 4: Simplify right side
    20,834x = 195,068,742
  5. Step 5: Solve for x
    x = 195,068,742/20,834
  6. Step 6: Final answer
    x = 9,363

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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.