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Finding the Fourth Proportional to 7,655.91, 11,469.26 and 5,186.49

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Solution

The fourth proportional to 7,655.91, 11,469.26 and 5,186.49 is: 7,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.91 : 11,469.26 = 5,186.49 : x
  2. Step 2: Convert to fraction form
    7,655.91/11,469.26 = 5,186.49/x
  3. Step 3: Cross multiply
    7,655.91x = 11,469.26 × 5,186.49
  4. Step 4: Simplify right side
    7,655.91x = 59,485,176.36
  5. Step 5: Solve for x
    x = 59,485,176.36/7,655.91
  6. Step 6: Final answer
    x = 7,769.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.