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Finding the Fourth Proportional to 7,715, 11,573.04 and 3,098

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Solution

The fourth proportional to 7,715, 11,573.04 and 3,098 is: 4,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715 : 11,573.04 = 3,098 : x
  2. Step 2: Convert to fraction form
    7,715/11,573.04 = 3,098/x
  3. Step 3: Cross multiply
    7,715x = 11,573.04 × 3,098
  4. Step 4: Simplify right side
    7,715x = 35,853,277.92
  5. Step 5: Solve for x
    x = 35,853,277.92/7,715
  6. Step 6: Final answer
    x = 4,647.22

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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.