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Finding the Fourth Proportional to 9,351.96, 12,905.64 and 5,160.22

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Solution

The fourth proportional to 9,351.96, 12,905.64 and 5,160.22 is: 7,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.96 : 12,905.64 = 5,160.22 : x
  2. Step 2: Convert to fraction form
    9,351.96/12,905.64 = 5,160.22/x
  3. Step 3: Cross multiply
    9,351.96x = 12,905.64 × 5,160.22
  4. Step 4: Simplify right side
    9,351.96x = 66,595,941.64
  5. Step 5: Solve for x
    x = 66,595,941.64/9,351.96
  6. Step 6: Final answer
    x = 7,121.07

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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.