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Finding the Fourth Proportional to 11,682.98, 17,515.02 and 7,975.88

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Solution

The fourth proportional to 11,682.98, 17,515.02 and 7,975.88 is: 11,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.98 : 17,515.02 = 7,975.88 : x
  2. Step 2: Convert to fraction form
    11,682.98/17,515.02 = 7,975.88/x
  3. Step 3: Cross multiply
    11,682.98x = 17,515.02 × 7,975.88
  4. Step 4: Simplify right side
    11,682.98x = 139,697,697.72
  5. Step 5: Solve for x
    x = 139,697,697.72/11,682.98
  6. Step 6: Final answer
    x = 11,957.37

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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.