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Finding the Fourth Proportional to 9,197.82, 12,692.54 and 5,218.85

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Solution

The fourth proportional to 9,197.82, 12,692.54 and 5,218.85 is: 7,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.82 : 12,692.54 = 5,218.85 : x
  2. Step 2: Convert to fraction form
    9,197.82/12,692.54 = 5,218.85/x
  3. Step 3: Cross multiply
    9,197.82x = 12,692.54 × 5,218.85
  4. Step 4: Simplify right side
    9,197.82x = 66,240,372.82
  5. Step 5: Solve for x
    x = 66,240,372.82/9,197.82
  6. Step 6: Final answer
    x = 7,201.75

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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.