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Finding the Fourth Proportional to 7,241.12, 10,862 and 2,311.12

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Solution

The fourth proportional to 7,241.12, 10,862 and 2,311.12 is: 3,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.12 : 10,862 = 2,311.12 : x
  2. Step 2: Convert to fraction form
    7,241.12/10,862 = 2,311.12/x
  3. Step 3: Cross multiply
    7,241.12x = 10,862 × 2,311.12
  4. Step 4: Simplify right side
    7,241.12x = 25,103,385.44
  5. Step 5: Solve for x
    x = 25,103,385.44/7,241.12
  6. Step 6: Final answer
    x = 3,466.78

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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.