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Finding the Fourth Proportional to 7,676.72, 11,512.64 and 3,293

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Solution

The fourth proportional to 7,676.72, 11,512.64 and 3,293 is: 4,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.72 : 11,512.64 = 3,293 : x
  2. Step 2: Convert to fraction form
    7,676.72/11,512.64 = 3,293/x
  3. Step 3: Cross multiply
    7,676.72x = 11,512.64 × 3,293
  4. Step 4: Simplify right side
    7,676.72x = 37,911,123.52
  5. Step 5: Solve for x
    x = 37,911,123.52/7,676.72
  6. Step 6: Final answer
    x = 4,938.45

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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.