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Finding the Fourth Proportional to 7,634.40, 11,451.60 and 3,255

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Solution

The fourth proportional to 7,634.40, 11,451.60 and 3,255 is: 4,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.40 : 11,451.60 = 3,255 : x
  2. Step 2: Convert to fraction form
    7,634.40/11,451.60 = 3,255/x
  3. Step 3: Cross multiply
    7,634.40x = 11,451.60 × 3,255
  4. Step 4: Simplify right side
    7,634.40x = 37,274,958
  5. Step 5: Solve for x
    x = 37,274,958/7,634.40
  6. Step 6: Final answer
    x = 4,882.50

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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.