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Finding the Fourth Proportional to 9,717, 14,577.96 and 2,791.50

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Solution

The fourth proportional to 9,717, 14,577.96 and 2,791.50 is: 4,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717 : 14,577.96 = 2,791.50 : x
  2. Step 2: Convert to fraction form
    9,717/14,577.96 = 2,791.50/x
  3. Step 3: Cross multiply
    9,717x = 14,577.96 × 2,791.50
  4. Step 4: Simplify right side
    9,717x = 40,694,375.34
  5. Step 5: Solve for x
    x = 40,694,375.34/9,717
  6. Step 6: Final answer
    x = 4,187.96

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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.