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Finding the Fourth Proportional to 7,672.85, 11,511.70 and 2,742.38

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Solution

The fourth proportional to 7,672.85, 11,511.70 and 2,742.38 is: 4,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.85 : 11,511.70 = 2,742.38 : x
  2. Step 2: Convert to fraction form
    7,672.85/11,511.70 = 2,742.38/x
  3. Step 3: Cross multiply
    7,672.85x = 11,511.70 × 2,742.38
  4. Step 4: Simplify right side
    7,672.85x = 31,569,391.43
  5. Step 5: Solve for x
    x = 31,569,391.43/7,672.85
  6. Step 6: Final answer
    x = 4,114.43

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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.