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Finding the Fourth Proportional to 7,672.86, 11,511.72 and 2,743.61

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Solution

The fourth proportional to 7,672.86, 11,511.72 and 2,743.61 is: 4,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.86 : 11,511.72 = 2,743.61 : x
  2. Step 2: Convert to fraction form
    7,672.86/11,511.72 = 2,743.61/x
  3. Step 3: Cross multiply
    7,672.86x = 11,511.72 × 2,743.61
  4. Step 4: Simplify right side
    7,672.86x = 31,583,612.55
  5. Step 5: Solve for x
    x = 31,583,612.55/7,672.86
  6. Step 6: Final answer
    x = 4,116.28

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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.