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Finding the Fourth Proportional to 12,464.96, 17,197.34 and 7,991.18

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Solution

The fourth proportional to 12,464.96, 17,197.34 and 7,991.18 is: 11,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.96 : 17,197.34 = 7,991.18 : x
  2. Step 2: Convert to fraction form
    12,464.96/17,197.34 = 7,991.18/x
  3. Step 3: Cross multiply
    12,464.96x = 17,197.34 × 7,991.18
  4. Step 4: Simplify right side
    12,464.96x = 137,427,042.50
  5. Step 5: Solve for x
    x = 137,427,042.50/12,464.96
  6. Step 6: Final answer
    x = 11,025.07

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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.