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Finding the Fourth Proportional to 7,682.61, 11,520.87 and 3,297

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Solution

The fourth proportional to 7,682.61, 11,520.87 and 3,297 is: 4,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.61 : 11,520.87 = 3,297 : x
  2. Step 2: Convert to fraction form
    7,682.61/11,520.87 = 3,297/x
  3. Step 3: Cross multiply
    7,682.61x = 11,520.87 × 3,297
  4. Step 4: Simplify right side
    7,682.61x = 37,984,308.39
  5. Step 5: Solve for x
    x = 37,984,308.39/7,682.61
  6. Step 6: Final answer
    x = 4,944.19

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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.