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Finding the Fourth Proportional to 7,694.01, 11,536.88 and 3,987.05

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Solution

The fourth proportional to 7,694.01, 11,536.88 and 3,987.05 is: 5,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.01 : 11,536.88 = 3,987.05 : x
  2. Step 2: Convert to fraction form
    7,694.01/11,536.88 = 3,987.05/x
  3. Step 3: Cross multiply
    7,694.01x = 11,536.88 × 3,987.05
  4. Step 4: Simplify right side
    7,694.01x = 45,998,039.78
  5. Step 5: Solve for x
    x = 45,998,039.78/7,694.01
  6. Step 6: Final answer
    x = 5,978.42

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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.