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Finding the Fourth Proportional to 7,655.66, 11,486.76 and 3,960.50

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Solution

The fourth proportional to 7,655.66, 11,486.76 and 3,960.50 is: 5,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.66 : 11,486.76 = 3,960.50 : x
  2. Step 2: Convert to fraction form
    7,655.66/11,486.76 = 3,960.50/x
  3. Step 3: Cross multiply
    7,655.66x = 11,486.76 × 3,960.50
  4. Step 4: Simplify right side
    7,655.66x = 45,493,262.97
  5. Step 5: Solve for x
    x = 45,493,262.97/7,655.66
  6. Step 6: Final answer
    x = 5,942.43

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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.