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Finding the Fourth Proportional to 8,731.68, 12,049.44 and 5,194.08

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Solution

The fourth proportional to 8,731.68, 12,049.44 and 5,194.08 is: 7,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.68 : 12,049.44 = 5,194.08 : x
  2. Step 2: Convert to fraction form
    8,731.68/12,049.44 = 5,194.08/x
  3. Step 3: Cross multiply
    8,731.68x = 12,049.44 × 5,194.08
  4. Step 4: Simplify right side
    8,731.68x = 62,585,755.32
  5. Step 5: Solve for x
    x = 62,585,755.32/8,731.68
  6. Step 6: Final answer
    x = 7,167.66

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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.