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Finding the Fourth Proportional to 8,137.53, 12,206.29 and 2,942.19

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Solution

The fourth proportional to 8,137.53, 12,206.29 and 2,942.19 is: 4,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.53 : 12,206.29 = 2,942.19 : x
  2. Step 2: Convert to fraction form
    8,137.53/12,206.29 = 2,942.19/x
  3. Step 3: Cross multiply
    8,137.53x = 12,206.29 × 2,942.19
  4. Step 4: Simplify right side
    8,137.53x = 35,913,224.38
  5. Step 5: Solve for x
    x = 35,913,224.38/8,137.53
  6. Step 6: Final answer
    x = 4,413.28

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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.