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Finding the Fourth Proportional to 7,163.61, 10,743.60 and 2,230.71

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Solution

The fourth proportional to 7,163.61, 10,743.60 and 2,230.71 is: 3,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.61 : 10,743.60 = 2,230.71 : x
  2. Step 2: Convert to fraction form
    7,163.61/10,743.60 = 2,230.71/x
  3. Step 3: Cross multiply
    7,163.61x = 10,743.60 × 2,230.71
  4. Step 4: Simplify right side
    7,163.61x = 23,965,905.27
  5. Step 5: Solve for x
    x = 23,965,905.27/7,163.61
  6. Step 6: Final answer
    x = 3,345.50

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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.