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Finding the Fourth Proportional to 9,197.42, 12,692.06 and 5,218.45

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Solution

The fourth proportional to 9,197.42, 12,692.06 and 5,218.45 is: 7,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.42 : 12,692.06 = 5,218.45 : x
  2. Step 2: Convert to fraction form
    9,197.42/12,692.06 = 5,218.45/x
  3. Step 3: Cross multiply
    9,197.42x = 12,692.06 × 5,218.45
  4. Step 4: Simplify right side
    9,197.42x = 66,232,842.25
  5. Step 5: Solve for x
    x = 66,232,842.25/9,197.42
  6. Step 6: Final answer
    x = 7,201.25

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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.