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Finding the Fourth Proportional to 7,430, 11,142.42 and 2,163.58

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Solution

The fourth proportional to 7,430, 11,142.42 and 2,163.58 is: 3,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430 : 11,142.42 = 2,163.58 : x
  2. Step 2: Convert to fraction form
    7,430/11,142.42 = 2,163.58/x
  3. Step 3: Cross multiply
    7,430x = 11,142.42 × 2,163.58
  4. Step 4: Simplify right side
    7,430x = 24,107,517.06
  5. Step 5: Solve for x
    x = 24,107,517.06/7,430
  6. Step 6: Final answer
    x = 3,244.62

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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.