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Finding the Fourth Proportional to 20,762, 31,143 and 6,170

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Solution

The fourth proportional to 20,762, 31,143 and 6,170 is: 9,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762 : 31,143 = 6,170 : x
  2. Step 2: Convert to fraction form
    20,762/31,143 = 6,170/x
  3. Step 3: Cross multiply
    20,762x = 31,143 × 6,170
  4. Step 4: Simplify right side
    20,762x = 192,152,310
  5. Step 5: Solve for x
    x = 192,152,310/20,762
  6. Step 6: Final answer
    x = 9,255

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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.