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Finding the Fourth Proportional to 7,672.54, 11,511.24 and 2,742.07

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Solution

The fourth proportional to 7,672.54, 11,511.24 and 2,742.07 is: 4,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.54 : 11,511.24 = 2,742.07 : x
  2. Step 2: Convert to fraction form
    7,672.54/11,511.24 = 2,742.07/x
  3. Step 3: Cross multiply
    7,672.54x = 11,511.24 × 2,742.07
  4. Step 4: Simplify right side
    7,672.54x = 31,564,625.87
  5. Step 5: Solve for x
    x = 31,564,625.87/7,672.54
  6. Step 6: Final answer
    x = 4,113.97

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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.