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Finding the Fourth Proportional to 8,489.56, 12,731.89 and 2,942.68

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Solution

The fourth proportional to 8,489.56, 12,731.89 and 2,942.68 is: 4,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.56 : 12,731.89 = 2,942.68 : x
  2. Step 2: Convert to fraction form
    8,489.56/12,731.89 = 2,942.68/x
  3. Step 3: Cross multiply
    8,489.56x = 12,731.89 × 2,942.68
  4. Step 4: Simplify right side
    8,489.56x = 37,465,878.07
  5. Step 5: Solve for x
    x = 37,465,878.07/8,489.56
  6. Step 6: Final answer
    x = 4,413.17

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Why These Related Problems?

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