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Finding the Fourth Proportional to 9,195.56, 13,786.14 and 4,812.20

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Solution

The fourth proportional to 9,195.56, 13,786.14 and 4,812.20 is: 7,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.56 : 13,786.14 = 4,812.20 : x
  2. Step 2: Convert to fraction form
    9,195.56/13,786.14 = 4,812.20/x
  3. Step 3: Cross multiply
    9,195.56x = 13,786.14 × 4,812.20
  4. Step 4: Simplify right side
    9,195.56x = 66,341,662.91
  5. Step 5: Solve for x
    x = 66,341,662.91/9,195.56
  6. Step 6: Final answer
    x = 7,214.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.