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Finding the Fourth Proportional to 7,685.00, 11,519.19 and 3,727.88

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Solution

The fourth proportional to 7,685.00, 11,519.19 and 3,727.88 is: 5,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.00 : 11,519.19 = 3,727.88 : x
  2. Step 2: Convert to fraction form
    7,685.00/11,519.19 = 3,727.88/x
  3. Step 3: Cross multiply
    7,685.00x = 11,519.19 × 3,727.88
  4. Step 4: Simplify right side
    7,685.00x = 42,942,100.42
  5. Step 5: Solve for x
    x = 42,942,100.42/7,685.00
  6. Step 6: Final answer
    x = 5,587.79

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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.