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Finding the Fourth Proportional to 12,717, 17,550 and 7,128

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Solution

The fourth proportional to 12,717, 17,550 and 7,128 is: 9,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717 : 17,550 = 7,128 : x
  2. Step 2: Convert to fraction form
    12,717/17,550 = 7,128/x
  3. Step 3: Cross multiply
    12,717x = 17,550 × 7,128
  4. Step 4: Simplify right side
    12,717x = 125,096,400
  5. Step 5: Solve for x
    x = 125,096,400/12,717
  6. Step 6: Final answer
    x = 9,836.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.