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Finding the Fourth Proportional to 9,195.82, 12,690.03 and 5,216.86

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Solution

The fourth proportional to 9,195.82, 12,690.03 and 5,216.86 is: 7,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.82 : 12,690.03 = 5,216.86 : x
  2. Step 2: Convert to fraction form
    9,195.82/12,690.03 = 5,216.86/x
  3. Step 3: Cross multiply
    9,195.82x = 12,690.03 × 5,216.86
  4. Step 4: Simplify right side
    9,195.82x = 66,202,109.91
  5. Step 5: Solve for x
    x = 66,202,109.91/9,195.82
  6. Step 6: Final answer
    x = 7,199.15

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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.