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Finding the Fourth Proportional to 20,768, 31,152 and 6,176

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Solution

The fourth proportional to 20,768, 31,152 and 6,176 is: 9,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 31,152 = 6,176 : x
  2. Step 2: Convert to fraction form
    20,768/31,152 = 6,176/x
  3. Step 3: Cross multiply
    20,768x = 31,152 × 6,176
  4. Step 4: Simplify right side
    20,768x = 192,394,752
  5. Step 5: Solve for x
    x = 192,394,752/20,768
  6. Step 6: Final answer
    x = 9,264

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.