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Finding the Fourth Proportional to 7,634.52, 11,452.98 and 3,252

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Solution

The fourth proportional to 7,634.52, 11,452.98 and 3,252 is: 4,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.52 : 11,452.98 = 3,252 : x
  2. Step 2: Convert to fraction form
    7,634.52/11,452.98 = 3,252/x
  3. Step 3: Cross multiply
    7,634.52x = 11,452.98 × 3,252
  4. Step 4: Simplify right side
    7,634.52x = 37,245,090.96
  5. Step 5: Solve for x
    x = 37,245,090.96/7,634.52
  6. Step 6: Final answer
    x = 4,878.51

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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.