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Finding the Fourth Proportional to 7,294.21, 10,942.80 and 2,911.30

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Solution

The fourth proportional to 7,294.21, 10,942.80 and 2,911.30 is: 4,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.21 : 10,942.80 = 2,911.30 : x
  2. Step 2: Convert to fraction form
    7,294.21/10,942.80 = 2,911.30/x
  3. Step 3: Cross multiply
    7,294.21x = 10,942.80 × 2,911.30
  4. Step 4: Simplify right side
    7,294.21x = 31,857,773.64
  5. Step 5: Solve for x
    x = 31,857,773.64/7,294.21
  6. Step 6: Final answer
    x = 4,367.54

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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.